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Finding the Third Proportional to 22,591 and 35,137

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Solution

The third proportional to 22,591 and 35,137 is: 54,650.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,591 : 35,137 = 35,137 : x
  2. Step 2: Convert to fraction form
    22,591/35,137 = 35,137/x
  3. Step 3: Cross multiply
    22,591x = 35,137 × 35,137
  4. Step 4: Simplify right side
    22,591x = 1,234,608,769
  5. Step 5: Solve for x
    x = 1,234,608,769/22,591
  6. Step 6: Final answer
    x = 54,650.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.