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Finding the Third Proportional to 38,545.88 and 80,964.56

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Solution

The third proportional to 38,545.88 and 80,964.56 is: 170,063.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,545.88 : 80,964.56 = 80,964.56 : x
  2. Step 2: Convert to fraction form
    38,545.88/80,964.56 = 80,964.56/x
  3. Step 3: Cross multiply
    38,545.88x = 80,964.56 × 80,964.56
  4. Step 4: Simplify right side
    38,545.88x = 6,555,260,380.82
  5. Step 5: Solve for x
    x = 6,555,260,380.82/38,545.88
  6. Step 6: Final answer
    x = 170,063.86

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.