1. Stating the problem: We need to complete the missing values in the ratio table where each pair forms equivalent ratios.
2. First, identify ratio pairs given:
- Row 1: $\frac{3}{1}$
- Row 4: $\frac{66}{22}$
- Row 5: $\frac{96}{32}$
- Row 3 right side: 5
- Row 2 left side: 6
3. Simplify known ratios:
- $\frac{3}{1} = 3$
- $\frac{66}{22} = 3$
- $\frac{96}{32} = \frac{96 \div 32}{32 \div 32} = \frac{3}{1} = 3$
All these simplify to 3, so the ratio constant is 3.
4. Find missing value in Row 2 right (ratio with left 6):
- Since ratio = 3, $\frac{6}{x} = 3$ so $x = \frac{6}{3} = 2$
5. Find missing value in Row 3 left (ratio with right 5):
- Since ratio = 3, $\frac{x}{5} = 3$ so $x = 3 \times 5 = 15$
6. Completed table is:
| Left | Right |
|-------|-------|
| 3 | 1 |
| 6 | 2 |
| 15 | 5 |
| 66 | 22 |
| 96 | 32 |
Final answer: Missing numbers are 2 (Row 2 right) and 15 (Row 3 left).
Complete Ratios
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