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Finding the Third Proportional to 39,278.67 and 85,387.92

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Solution

The third proportional to 39,278.67 and 85,387.92 is: 185,624.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,278.67 : 85,387.92 = 85,387.92 : x
  2. Step 2: Convert to fraction form
    39,278.67/85,387.92 = 85,387.92/x
  3. Step 3: Cross multiply
    39,278.67x = 85,387.92 × 85,387.92
  4. Step 4: Simplify right side
    39,278.67x = 7,291,097,202.13
  5. Step 5: Solve for x
    x = 7,291,097,202.13/39,278.67
  6. Step 6: Final answer
    x = 185,624.84

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.