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Finding the Third Proportional to 22,810 and 36,439

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Solution

The third proportional to 22,810 and 36,439 is: 58,211.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,810 : 36,439 = 36,439 : x
  2. Step 2: Convert to fraction form
    22,810/36,439 = 36,439/x
  3. Step 3: Cross multiply
    22,810x = 36,439 × 36,439
  4. Step 4: Simplify right side
    22,810x = 1,327,800,721
  5. Step 5: Solve for x
    x = 1,327,800,721/22,810
  6. Step 6: Final answer
    x = 58,211.34

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.