Question

find the third proportion of 3/4 , 5/8​

Answer 1

SOLUTION

The third proportion of two numbers a & b is defined to be that number c such that a:b::b:c.

=) b²= ac

$= > ( \frac{5}{8} ) {}^{2} = \frac{3}{4} c \\ \\ = > \frac{25}{64} = \frac{3c}{4} \\ \\ = > 3c \times 64 =25 \times 4 \\ \\ = > 192c = 100 \\ \\ = > c = \frac{100}{192} \\ \\ = > c = \frac{25}{48}$

hope it helps ☺️

Answer 2

Answer:

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