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Finding the Third Proportional to 22,529 and 52,151

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Solution

The third proportional to 22,529 and 52,151 is: 120,721.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,529 : 52,151 = 52,151 : x
  2. Step 2: Convert to fraction form
    22,529/52,151 = 52,151/x
  3. Step 3: Cross multiply
    22,529x = 52,151 × 52,151
  4. Step 4: Simplify right side
    22,529x = 2,719,726,801
  5. Step 5: Solve for x
    x = 2,719,726,801/22,529
  6. Step 6: Final answer
    x = 120,721.15

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.