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Finding the Third Proportional to 41,787 and 61,080

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Solution

The third proportional to 41,787 and 61,080 is: 89,280.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,787 : 61,080 = 61,080 : x
  2. Step 2: Convert to fraction form
    41,787/61,080 = 61,080/x
  3. Step 3: Cross multiply
    41,787x = 61,080 × 61,080
  4. Step 4: Simplify right side
    41,787x = 3,730,766,400
  5. Step 5: Solve for x
    x = 3,730,766,400/41,787
  6. Step 6: Final answer
    x = 89,280.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.