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Finding the Third Proportional to 22,902 and 49,542

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Solution

The third proportional to 22,902 and 49,542 is: 107,170.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,902 : 49,542 = 49,542 : x
  2. Step 2: Convert to fraction form
    22,902/49,542 = 49,542/x
  3. Step 3: Cross multiply
    22,902x = 49,542 × 49,542
  4. Step 4: Simplify right side
    22,902x = 2,454,409,764
  5. Step 5: Solve for x
    x = 2,454,409,764/22,902
  6. Step 6: Final answer
    x = 107,170.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.