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Finding the Third Proportional to 41,566 and 62,180

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Solution

The third proportional to 41,566 and 62,180 is: 93,017.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,566 : 62,180 = 62,180 : x
  2. Step 2: Convert to fraction form
    41,566/62,180 = 62,180/x
  3. Step 3: Cross multiply
    41,566x = 62,180 × 62,180
  4. Step 4: Simplify right side
    41,566x = 3,866,352,400
  5. Step 5: Solve for x
    x = 3,866,352,400/41,566
  6. Step 6: Final answer
    x = 93,017.19

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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.