$$\frac{ 3 }{ n } = \frac{ 1 }{ 6 } \times \frac{ 9 }{ 8 }$$
$n=16$
$$24\times 3=\frac{1}{6}\times \frac{9}{8}\times 24n$$
$$72=\frac{1}{6}\times \frac{9}{8}\times 24n$$
$$72=\frac{1\times 9}{6\times 8}\times 24n$$
$$72=\frac{9}{48}\times 24n$$
$$72=\frac{3}{16}\times 24n$$
$$72=\frac{3\times 24}{16}n$$
$$72=\frac{72}{16}n$$
$$72=\frac{9}{2}n$$
$$\frac{9}{2}n=72$$
$$n=72\times \frac{2}{9}$$
$$n=\frac{72\times 2}{9}$$
$$n=\frac{144}{9}$$
$$n=16$$
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