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Finding the Third Proportional to 41,049 and 61,616

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Solution

The third proportional to 41,049 and 61,616 is: 92,487.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,049 : 61,616 = 61,616 : x
  2. Step 2: Convert to fraction form
    41,049/61,616 = 61,616/x
  3. Step 3: Cross multiply
    41,049x = 61,616 × 61,616
  4. Step 4: Simplify right side
    41,049x = 3,796,531,456
  5. Step 5: Solve for x
    x = 3,796,531,456/41,049
  6. Step 6: Final answer
    x = 92,487.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.