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Finding the Third Proportional to 39,562.13 and 85,366.31

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Solution

The third proportional to 39,562.13 and 85,366.31 is: 184,201.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,562.13 : 85,366.31 = 85,366.31 : x
  2. Step 2: Convert to fraction form
    39,562.13/85,366.31 = 85,366.31/x
  3. Step 3: Cross multiply
    39,562.13x = 85,366.31 × 85,366.31
  4. Step 4: Simplify right side
    39,562.13x = 7,287,407,309.85
  5. Step 5: Solve for x
    x = 7,287,407,309.85/39,562.13
  6. Step 6: Final answer
    x = 184,201.61

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.