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Finding the Third Proportional to 22,591 and 47,725

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Solution

The third proportional to 22,591 and 47,725 is: 100,822.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,591 : 47,725 = 47,725 : x
  2. Step 2: Convert to fraction form
    22,591/47,725 = 47,725/x
  3. Step 3: Cross multiply
    22,591x = 47,725 × 47,725
  4. Step 4: Simplify right side
    22,591x = 2,277,675,625
  5. Step 5: Solve for x
    x = 2,277,675,625/22,591
  6. Step 6: Final answer
    x = 100,822.26

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.