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Finding the Third Proportional to 34,819.50 and 62,727

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Solution

The third proportional to 34,819.50 and 62,727 is: 113,002.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,819.50 : 62,727 = 62,727 : x
  2. Step 2: Convert to fraction form
    34,819.50/62,727 = 62,727/x
  3. Step 3: Cross multiply
    34,819.50x = 62,727 × 62,727
  4. Step 4: Simplify right side
    34,819.50x = 3,934,676,529
  5. Step 5: Solve for x
    x = 3,934,676,529/34,819.50
  6. Step 6: Final answer
    x = 113,002.10

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These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.