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Question

If 96 : y :: y : 6, find the positive value of y.

The correct answer is

24

Using proportion: 96 × 6 = y² → y = √576 = 24

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Important Questions from Mean Proportional

  1. What is the difference in the mean proportional between 1.8 and 3.2 and the third proportional to 5 and 3?

  2. If x is subtracted from each of 23, 39, 32 and 56, the numbers so obtained, in this order, are in proportion. What is the mean proportional between (x + 4) and (3x + 1)?

  3. When x is added to each of 9, 15, 21 and 31, the numbers so obtained are in proportion. What is the mean proportional between the numbers (3x - 2) and (5x + 4)?

  4. When x is subtracted from each of 21, 22, 60 and 64, the numbers so obtained, in this order, are in proportion. What is the mean proportional between (x + 1) and (7x + 8)?

  5. When x is subtracted from each of 19, 28, 55 and 91, the numbers so obtained in this order, are in proportion. What is the mean proportional between (x + 9) and x 2?

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