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Finding the Third Proportional to 39,545.81 and 85,092.75

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Solution

The third proportional to 39,545.81 and 85,092.75 is: 183,098.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,545.81 : 85,092.75 = 85,092.75 : x
  2. Step 2: Convert to fraction form
    39,545.81/85,092.75 = 85,092.75/x
  3. Step 3: Cross multiply
    39,545.81x = 85,092.75 × 85,092.75
  4. Step 4: Simplify right side
    39,545.81x = 7,240,776,102.56
  5. Step 5: Solve for x
    x = 7,240,776,102.56/39,545.81
  6. Step 6: Final answer
    x = 183,098.43

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.