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Finding the Third Proportional to 34,618.50 and 75,474

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Solution

The third proportional to 34,618.50 and 75,474 is: 164,545.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,618.50 : 75,474 = 75,474 : x
  2. Step 2: Convert to fraction form
    34,618.50/75,474 = 75,474/x
  3. Step 3: Cross multiply
    34,618.50x = 75,474 × 75,474
  4. Step 4: Simplify right side
    34,618.50x = 5,696,324,676
  5. Step 5: Solve for x
    x = 5,696,324,676/34,618.50
  6. Step 6: Final answer
    x = 164,545.68

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.