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Finding the Third Proportional to 49,572.84 and 74,469.38

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Solution

The third proportional to 49,572.84 and 74,469.38 is: 111,869.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,572.84 : 74,469.38 = 74,469.38 : x
  2. Step 2: Convert to fraction form
    49,572.84/74,469.38 = 74,469.38/x
  3. Step 3: Cross multiply
    49,572.84x = 74,469.38 × 74,469.38
  4. Step 4: Simplify right side
    49,572.84x = 5,545,687,812.89
  5. Step 5: Solve for x
    x = 5,545,687,812.89/49,572.84
  6. Step 6: Final answer
    x = 111,869.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.