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Finding the Third Proportional to 47,545.73 and 73,582.17

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Solution

The third proportional to 47,545.73 and 73,582.17 is: 113,876.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,545.73 : 73,582.17 = 73,582.17 : x
  2. Step 2: Convert to fraction form
    47,545.73/73,582.17 = 73,582.17/x
  3. Step 3: Cross multiply
    47,545.73x = 73,582.17 × 73,582.17
  4. Step 4: Simplify right side
    47,545.73x = 5,414,336,017.84
  5. Step 5: Solve for x
    x = 5,414,336,017.84/47,545.73
  6. Step 6: Final answer
    x = 113,876.38

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.