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Finding the Third Proportional to 40,086 and 62,311.50

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Solution

The third proportional to 40,086 and 62,311.50 is: 96,859.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,086 : 62,311.50 = 62,311.50 : x
  2. Step 2: Convert to fraction form
    40,086/62,311.50 = 62,311.50/x
  3. Step 3: Cross multiply
    40,086x = 62,311.50 × 62,311.50
  4. Step 4: Simplify right side
    40,086x = 3,882,723,032.25
  5. Step 5: Solve for x
    x = 3,882,723,032.25/40,086
  6. Step 6: Final answer
    x = 96,859.83

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.