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Finding the Third Proportional to 26,898 and 62,505

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Solution

The third proportional to 26,898 and 62,505 is: 145,247.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,898 : 62,505 = 62,505 : x
  2. Step 2: Convert to fraction form
    26,898/62,505 = 62,505/x
  3. Step 3: Cross multiply
    26,898x = 62,505 × 62,505
  4. Step 4: Simplify right side
    26,898x = 3,906,875,025
  5. Step 5: Solve for x
    x = 3,906,875,025/26,898
  6. Step 6: Final answer
    x = 145,247.79

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.