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Finding the Third Proportional to 41,541 and 62,744

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Solution

The third proportional to 41,541 and 62,744 is: 94,769.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,541 : 62,744 = 62,744 : x
  2. Step 2: Convert to fraction form
    41,541/62,744 = 62,744/x
  3. Step 3: Cross multiply
    41,541x = 62,744 × 62,744
  4. Step 4: Simplify right side
    41,541x = 3,936,809,536
  5. Step 5: Solve for x
    x = 3,936,809,536/41,541
  6. Step 6: Final answer
    x = 94,769.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.