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Finding the Third Proportional to 39,906.50 and 58,104.75

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Solution

The third proportional to 39,906.50 and 58,104.75 is: 84,601.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,906.50 : 58,104.75 = 58,104.75 : x
  2. Step 2: Convert to fraction form
    39,906.50/58,104.75 = 58,104.75/x
  3. Step 3: Cross multiply
    39,906.50x = 58,104.75 × 58,104.75
  4. Step 4: Simplify right side
    39,906.50x = 3,376,161,972.56
  5. Step 5: Solve for x
    x = 3,376,161,972.56/39,906.50
  6. Step 6: Final answer
    x = 84,601.81

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.