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Finding the Third Proportional to 41,743 and 52,891.50

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Solution

The third proportional to 41,743 and 52,891.50 is: 67,017.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,743 : 52,891.50 = 52,891.50 : x
  2. Step 2: Convert to fraction form
    41,743/52,891.50 = 52,891.50/x
  3. Step 3: Cross multiply
    41,743x = 52,891.50 × 52,891.50
  4. Step 4: Simplify right side
    41,743x = 2,797,510,772.25
  5. Step 5: Solve for x
    x = 2,797,510,772.25/41,743
  6. Step 6: Final answer
    x = 67,017.48

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.