Finding the Third Proportional to 7,482 and 12,846
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Solution
The third proportional to 7,482 and 12,846 is: 22,055.56
Step by Step Solution
- Step 1: Write the proportion equation
7,482 : 12,846 = 12,846 : x - Step 2: Convert to fraction form
7,482/12,846 = 12,846/x - Step 3: Cross multiply
7,482x = 12,846 × 12,846 - Step 4: Simplify right side
7,482x = 165,019,716 - Step 5: Solve for x
x = 165,019,716/7,482 - Step 6: Final answer
x = 22,055.56
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Why These Related Problems?
These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.