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Finding the Third Proportional to 29,549 and 61,591

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Solution

The third proportional to 29,549 and 61,591 is: 128,378.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,549 : 61,591 = 61,591 : x
  2. Step 2: Convert to fraction form
    29,549/61,591 = 61,591/x
  3. Step 3: Cross multiply
    29,549x = 61,591 × 61,591
  4. Step 4: Simplify right side
    29,549x = 3,793,451,281
  5. Step 5: Solve for x
    x = 3,793,451,281/29,549
  6. Step 6: Final answer
    x = 128,378.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.