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Finding the Third Proportional to 41,493 and 59,647

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Solution

The third proportional to 41,493 and 59,647 is: 85,743.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,493 : 59,647 = 59,647 : x
  2. Step 2: Convert to fraction form
    41,493/59,647 = 59,647/x
  3. Step 3: Cross multiply
    41,493x = 59,647 × 59,647
  4. Step 4: Simplify right side
    41,493x = 3,557,764,609
  5. Step 5: Solve for x
    x = 3,557,764,609/41,493
  6. Step 6: Final answer
    x = 85,743.73

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Why These Related Problems?

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