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If 16,80 , x are in continued proportion ... then find the value of x?
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If 16,80 , x are in continued proportion ... then find the value of x?
Understanding Continued Proportion
Continued proportion refers to a situation where three or more quantities are in a specific ratio. For three quantities a, b, and c to be in continued proportion, the relation must satisfy the equation a/b = b/c.
Given Values
- The quantities provided are 16, 80, and x.
- We need to find the value of x.
Setting Up the Equation
Using the definition of continued proportion:
- We can express the relationship as:
16/80 = 80/x
Cross-Multiplication
To solve for x, cross-multiply the equation:
- 16 * x = 80 * 80
This simplifies to:
- 16x = 6400
Solving for x
Next, divide both sides by 16 to isolate x:
- x = 6400 / 16
Calculating this gives:
- x = 400
Conclusion
The value of x that maintains the continued proportion of 16, 80, and x is:
- x = 400
Now, we have successfully determined the unknown quantity in the continued proportion!
Continued proportion refers to a situation where three or more quantities are in a specific ratio. For three quantities a, b, and c to be in continued proportion, the relation must satisfy the equation a/b = b/c.
Given Values
- The quantities provided are 16, 80, and x.
- We need to find the value of x.
Setting Up the Equation
Using the definition of continued proportion:
- We can express the relationship as:
16/80 = 80/x
Cross-Multiplication
To solve for x, cross-multiply the equation:
- 16 * x = 80 * 80
This simplifies to:
- 16x = 6400
Solving for x
Next, divide both sides by 16 to isolate x:
- x = 6400 / 16
Calculating this gives:
- x = 400
Conclusion
The value of x that maintains the continued proportion of 16, 80, and x is:
- x = 400
Now, we have successfully determined the unknown quantity in the continued proportion!
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If 16,80 , x are in continued proportion ... then find the value of x?
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If 16,80 , x are in continued proportion ... then find the value of x? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about If 16,80 , x are in continued proportion ... then find the value of x? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 16,80 , x are in continued proportion ... then find the value of x?.
If 16,80 , x are in continued proportion ... then find the value of x? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about If 16,80 , x are in continued proportion ... then find the value of x? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 16,80 , x are in continued proportion ... then find the value of x?.
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