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Which of the following is a proportion?
  • a)
    3,27,9,9
  • b)
    5,11,15,44
  • c)
    3,5,15,25
  • d)
    4,3,36,18
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Which of the following is a proportion?a)3,27,9,9b)5,11,15,44c)3,5,15,...
In a proportion, product of extremes is equal to product of means.
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Which of the following is a proportion?a)3,27,9,9b)5,11,15,44c)3,5,15,...
A proportion is a statement that two ratios are equal. In other words, it is a comparison of two sets of numbers. To determine if a given set of numbers is a proportion, we need to check if the ratios formed by the numbers are equal.

Let's analyze each option to identify the proportion:

a) 3, 27, 9, 9

To form ratios, we can pair the numbers as follows: 3/27 and 9/9. Simplifying these ratios, we get 1/9 and 1/1. Since the ratios are not equal, option a) is not a proportion.

b) 5, 11, 15, 44

Pairing the numbers to form ratios: 5/11 and 15/44. Simplifying these ratios, we get approximately 0.45 and 0.34. Since the ratios are not equal, option b) is not a proportion.

c) 3, 5, 15, 25

Forming ratios: 3/5 and 15/25. Simplifying these ratios, we get 0.6 and 0.6. The ratios are equal, so option c) is a proportion.

d) 4, 3, 36, 18

Pairing the numbers: 4/3 and 36/18. Simplifying the ratios, we get approximately 1.33 and 2. Since the ratios are not equal, option d) is not a proportion.

Therefore, the correct answer is option c) 3, 5, 15, 25. The ratios formed by these numbers are equal, making it a proportion.
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Which of the following is a proportion?a)3,27,9,9b)5,11,15,44c)3,5,15,25d)4,3,36,18Correct answer is option 'C'. Can you explain this answer?
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