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Finding the Third Proportional to 41,067 and 59,344.50

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Solution

The third proportional to 41,067 and 59,344.50 is: 85,756.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,067 : 59,344.50 = 59,344.50 : x
  2. Step 2: Convert to fraction form
    41,067/59,344.50 = 59,344.50/x
  3. Step 3: Cross multiply
    41,067x = 59,344.50 × 59,344.50
  4. Step 4: Simplify right side
    41,067x = 3,521,769,680.25
  5. Step 5: Solve for x
    x = 3,521,769,680.25/41,067
  6. Step 6: Final answer
    x = 85,756.68

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.