1. The problem involves solving for the unknown variable in two equations involving fractions:
$$ ? = \frac{30}{100} $$
and
$$ \frac{30}{?} = \frac{?}{100} $$
2. For the first equation, we directly have:
$$ ? = \frac{30}{100} $$
which simplifies to:
$$ ? = 0.3 $$
3. For the second equation, we use cross multiplication:
$$ 30 \times 100 = ? \times ? $$
which gives:
$$ 3000 = ?^2 $$
4. Taking the square root of both sides:
$$ ? = \sqrt{3000} $$
5. Simplify the square root:
$$ ? = \sqrt{100 \times 30} = \sqrt{100} \times \sqrt{30} = 10 \sqrt{30} $$
6. Approximate the value:
$$ 10 \sqrt{30} \approx 10 \times 5.477 = 54.77 $$
Final answers:
For the first equation, $ ? = 0.3 $.
For the second equation, $ ? = 10 \sqrt{30} \approx 54.77 $.
Fraction Unknown Bc4Fc7
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