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Finding the Third Proportional to 41,280 and 59,540

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Solution

The third proportional to 41,280 and 59,540 is: 85,877.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,280 : 59,540 = 59,540 : x
  2. Step 2: Convert to fraction form
    41,280/59,540 = 59,540/x
  3. Step 3: Cross multiply
    41,280x = 59,540 × 59,540
  4. Step 4: Simplify right side
    41,280x = 3,545,011,600
  5. Step 5: Solve for x
    x = 3,545,011,600/41,280
  6. Step 6: Final answer
    x = 85,877.22

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.