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Question

Find the mean proportional between 28 and 252.

The correct answer is
84

To find the mean proportional between two numbers, we need to use the concept of geometric mean. The mean proportional (also known as the geometric mean) between two numbers a and b is the square root of their product. Mathematically, the mean proportional x can be represented as:

x = \sqrt{a \times b}

For this question, we are given the numbers 28 and 252. Let's calculate the mean proportional:

x = \sqrt{28 \times 252}

First, let's calculate the product:

28 \times 252 = 7056

Now, take the square root of 7056:

x = \sqrt{7056}

By calculating the square root:

\sqrt{7056} = 84

Therefore, the mean proportional between 28 and 252 is 84.

Conclusion: The correct answer is 84.

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Important Questions from Mean Proportional

  1. Find the mean proportional between 19 and 76.
  2. Find the mean proportional of 324 and 16.
  3. Find the mean proportional of 400 and 4.
  4. Find the mean proportional of 225 and 4.
  5. Find the mean proportional of 81 and 36.
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