Finding the Third Proportional to 40,419 and 82,782
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Solution
The third proportional to 40,419 and 82,782 is: 169,545.50
Step by Step Solution
- Step 1: Write the proportion equation
40,419 : 82,782 = 82,782 : x - Step 2: Convert to fraction form
40,419/82,782 = 82,782/x - Step 3: Cross multiply
40,419x = 82,782 × 82,782 - Step 4: Simplify right side
40,419x = 6,852,859,524 - Step 5: Solve for x
x = 6,852,859,524/40,419 - Step 6: Final answer
x = 169,545.50
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.