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Geometry-8th gr

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The geometric mean x of two numbers is the positive value of x that satisfies the proportion a/x =x/b, where a and b are given. Find the geometric mean of 16 and 9.

  • Geometry-8th gr -

    16/x = x/9 , cross-multiply
    x^2= 144
    x = √144 = 12

    check:
    16/12 = 4/3
    12/9 = 4/3

  • Geometry-8th gr -

    Thanks. So the geometric mean for 16 and 9 is 4/3?

  • Geometry-8th gr -

    NOOO, the geometric mean is 12

    I merely showed that 12 is correct
    and satisfied your given proportion
    a/x = x/b

    the 3 numbers are:
    16 , 12 , 9 , with 12 as the geometric mean

  • Geometry-8th gr -

    Oh okay...thanks.

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