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Finding the Third Proportional to 26,377 and 57,650

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Solution

The third proportional to 26,377 and 57,650 is: 126,000.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,377 : 57,650 = 57,650 : x
  2. Step 2: Convert to fraction form
    26,377/57,650 = 57,650/x
  3. Step 3: Cross multiply
    26,377x = 57,650 × 57,650
  4. Step 4: Simplify right side
    26,377x = 3,323,522,500
  5. Step 5: Solve for x
    x = 3,323,522,500/26,377
  6. Step 6: Final answer
    x = 126,000.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.