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    If 3, 6, 12 and b are in continued proportion, then what is the value of b?
    Question

    If 3, 6, 12 and b are in continued proportion, then what is the value of b?

    A.

    b = 2

    B.

    b = 24

    C.

    b = 4

    D.

    b = 12

    Correct option is B

    Given:

    3, 6, 12 and b are in continued proportion
    Concept Used:
    If a, b, c, and d are in proportion then 
    a:b::c:d ab=cda : b :: c : d \implies \frac{a}{b} = \frac{c}{d}
    Solution:
    3:6::12:b36=12x 3x=12×6b=243 : 6:: 12 : b\\ \rightarrow \frac{3}{6} = \frac{12}{x} \\ \ \\ 3x = 12 \times 6 \\ b = 24

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