Find the natural number obtained when the number 13 is subtracted from the mean proportional of 75 and 12.

Correct option is C

Given:

We need to find the natural number obtained when 13 is subtracted from the mean proportional of 75 and 12.

Formula Used:

The mean proportional of two numbers a and b is given by the square root of their product:

Mean Proportional =$$\sqrt{a \times b}$$​

Solution:

Mean Proportional = $$\sqrt{75 \times 12} = \sqrt{900} = 30$$​

Subtract 13 from the mean proportional:

30 - 13 = 17

Thus, the natural number obtained is 17.