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Finding the Third Proportional to 26,918 and 62,872

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Solution

The third proportional to 26,918 and 62,872 is: 146,849.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,918 : 62,872 = 62,872 : x
  2. Step 2: Convert to fraction form
    26,918/62,872 = 62,872/x
  3. Step 3: Cross multiply
    26,918x = 62,872 × 62,872
  4. Step 4: Simplify right side
    26,918x = 3,952,888,384
  5. Step 5: Solve for x
    x = 3,952,888,384/26,918
  6. Step 6: Final answer
    x = 146,849.26

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.