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Finding the Third Proportional to 25,940 and 56,591

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Solution

The third proportional to 25,940 and 56,591 is: 123,459.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,940 : 56,591 = 56,591 : x
  2. Step 2: Convert to fraction form
    25,940/56,591 = 56,591/x
  3. Step 3: Cross multiply
    25,940x = 56,591 × 56,591
  4. Step 4: Simplify right side
    25,940x = 3,202,541,281
  5. Step 5: Solve for x
    x = 3,202,541,281/25,940
  6. Step 6: Final answer
    x = 123,459.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.