[tex]\displaystyle\bf\\\sqrt{3} :x=\sqrt{2} :3\sqrt{2} \\\\\\x\cdot \sqrt{2} =\sqrt{3} \cdot 3\sqrt{2} \ |:\sqrt{2} \\\\\\\boxed{x=3\sqrt{3} }[/tex]
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[tex]\displaystyle\bf\\\sqrt{3} :x=\sqrt{2} :3\sqrt{2} \\\\\\x\cdot \sqrt{2} =\sqrt{3} \cdot 3\sqrt{2} \ |:\sqrt{2} \\\\\\\boxed{x=3\sqrt{3} }[/tex]