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Finding the Third Proportional to 22,446 and 34,755

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Solution

The third proportional to 22,446 and 34,755 is: 53,814.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,446 : 34,755 = 34,755 : x
  2. Step 2: Convert to fraction form
    22,446/34,755 = 34,755/x
  3. Step 3: Cross multiply
    22,446x = 34,755 × 34,755
  4. Step 4: Simplify right side
    22,446x = 1,207,910,025
  5. Step 5: Solve for x
    x = 1,207,910,025/22,446
  6. Step 6: Final answer
    x = 53,814.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.