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Finding the Third Proportional to 41,717 and 84,883

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Solution

The third proportional to 41,717 and 84,883 is: 172,714.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,717 : 84,883 = 84,883 : x
  2. Step 2: Convert to fraction form
    41,717/84,883 = 84,883/x
  3. Step 3: Cross multiply
    41,717x = 84,883 × 84,883
  4. Step 4: Simplify right side
    41,717x = 7,205,123,689
  5. Step 5: Solve for x
    x = 7,205,123,689/41,717
  6. Step 6: Final answer
    x = 172,714.33

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.