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If the mean proportional of A and 27 is 18, then find the value of A.
Question

If the mean proportional of A and 27 is 18, then find the value of A.

A.

12

B.

11

C.

10

D.

13

Correct option is A

Given:
Two numbers: A and 27
Mean proportional = 18
Formula Used:
Mean proportional of two numbers a and b = a×b\sqrt{a \times b}​​
Solution:
Set up the equation based on the formula:
A×27=18\sqrt{A \times 27} = 18​​
Square both sides to remove the square root:
A×27=182=324A \times 27 = 18^2 = 324​​
A = 32427 \frac{324}{27}​​
A = 12
Final Answer
So the correct answer is (a)

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