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Finding the Third Proportional to 17,691 and 41,703

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Solution

The third proportional to 17,691 and 41,703 is: 98,306.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,691 : 41,703 = 41,703 : x
  2. Step 2: Convert to fraction form
    17,691/41,703 = 41,703/x
  3. Step 3: Cross multiply
    17,691x = 41,703 × 41,703
  4. Step 4: Simplify right side
    17,691x = 1,739,140,209
  5. Step 5: Solve for x
    x = 1,739,140,209/17,691
  6. Step 6: Final answer
    x = 98,306.50

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.