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In a proportion 1st, 2nd and 4th terms are 7, 42 and 72 respectively. What is the third term?
  • a)
    8
  • b)
    12
  • c)
    14
  • d)
    16 
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
In a proportion 1st, 2nd and 4th terms are 7, 42 and 72 respectively. ...
Given,
7 : 42 : : x : 72
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Most Upvoted Answer
In a proportion 1st, 2nd and 4th terms are 7, 42 and 72 respectively. ...
To find the third term in the proportion, we can use the concept of ratios. A proportion is a statement that two ratios are equal. In this case, the given proportion can be written as:

1st term / 2nd term = 4th term / 3rd term

Let's substitute the given values:

7 / 42 = 72 / 3rd term

Now, we can cross-multiply to solve for the unknown third term:

7 * 3rd term = 42 * 72

Simplifying the equation:

3rd term = (42 * 72) / 7

Calculating the value:

3rd term = 3024 / 7

3rd term ≈ 432

Therefore, the third term in the proportion is approximately 432. However, this value is not among the given options. It seems there may have been an error in the options provided. None of the options given match the calculated value.

If we assume that the options are incorrect and look for the closest value to 432, we find that option B, which is 12, is the closest. However, it is important to note that 12 is not the exact third term in the proportion.

In conclusion, the correct answer would be 432, but since it is not among the options, the closest option is 12.
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In a proportion 1st, 2nd and 4th terms are 7, 42 and 72 respectively. What is the third term?a)8b)12c)14d)16Correct answer is option 'B'. Can you explain this answer?
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