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    If 36 : y :: y : 9, find the positive value of y.
    Question

    If 36 : y :: y : 9, find the positive value of y.

    A.

    18

    B.

    24

    C.

    13

    D.

    22

    Correct option is A

    Given:

    Proportion:

    36 : y :: y : 9

    Find the positive value of (y).

    Solution:

    36y=y9\frac{36}{y} = \frac{y}{9}​​

    36×9=y236 \times 9 = y^2​​

    y2=324y^2 = 324​​

    y = 324\sqrt{324}​ = 18

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