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Finding the Third Proportional to 17,737 and 27,463

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Solution

The third proportional to 17,737 and 27,463 is: 42,522.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,737 : 27,463 = 27,463 : x
  2. Step 2: Convert to fraction form
    17,737/27,463 = 27,463/x
  3. Step 3: Cross multiply
    17,737x = 27,463 × 27,463
  4. Step 4: Simplify right side
    17,737x = 754,216,369
  5. Step 5: Solve for x
    x = 754,216,369/17,737
  6. Step 6: Final answer
    x = 42,522.21

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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.