Respuesta :

The given expression is

[tex]\frac{3G}{K}=\frac{6}{M}[/tex]

First, we multiply by K on each side.

[tex]\begin{gathered} \frac{3G}{K}\cdot K=\frac{6}{M}\cdot K \\ 3G=\frac{6K}{M} \end{gathered}[/tex]

Then, we multiply by on each side.

[tex]\begin{gathered} 3G\cdot M=\frac{6K}{M}\cdot M \\ 3GM=6K \end{gathered}[/tex]

At last, we divide the equation by 6.

[tex]\begin{gathered} \frac{3GM}{6}=\frac{6K}{6} \\ K=\frac{GM}{2} \end{gathered}[/tex]

Hence, the answer is

[tex]K=\frac{GM}{2}[/tex]

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