Finding the Third Proportional to 20,800 and 42,572
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Solution
The third proportional to 20,800 and 42,572 is: 87,133.42
Step by Step Solution
- Step 1: Write the proportion equation
20,800 : 42,572 = 42,572 : x - Step 2: Convert to fraction form
20,800/42,572 = 42,572/x - Step 3: Cross multiply
20,800x = 42,572 × 42,572 - Step 4: Simplify right side
20,800x = 1,812,375,184 - Step 5: Solve for x
x = 1,812,375,184/20,800 - Step 6: Final answer
x = 87,133.42
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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.