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Finding the Third Proportional to 20,791.69 and 49,123.97

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Solution

The third proportional to 20,791.69 and 49,123.97 is: 116,063.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,791.69 : 49,123.97 = 49,123.97 : x
  2. Step 2: Convert to fraction form
    20,791.69/49,123.97 = 49,123.97/x
  3. Step 3: Cross multiply
    20,791.69x = 49,123.97 × 49,123.97
  4. Step 4: Simplify right side
    20,791.69x = 2,413,164,305.75
  5. Step 5: Solve for x
    x = 2,413,164,305.75/20,791.69
  6. Step 6: Final answer
    x = 116,063.90

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