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Finding the Third Proportional to 49,006.27 and 72,073.97

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Solution

The third proportional to 49,006.27 and 72,073.97 is: 105,999.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,006.27 : 72,073.97 = 72,073.97 : x
  2. Step 2: Convert to fraction form
    49,006.27/72,073.97 = 72,073.97/x
  3. Step 3: Cross multiply
    49,006.27x = 72,073.97 × 72,073.97
  4. Step 4: Simplify right side
    49,006.27x = 5,194,656,971.38
  5. Step 5: Solve for x
    x = 5,194,656,971.38/49,006.27
  6. Step 6: Final answer
    x = 105,999.85

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.