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Finding the Third Proportional to 27,677 and 41,549

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Solution

The third proportional to 27,677 and 41,549 is: 62,373.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,677 : 41,549 = 41,549 : x
  2. Step 2: Convert to fraction form
    27,677/41,549 = 41,549/x
  3. Step 3: Cross multiply
    27,677x = 41,549 × 41,549
  4. Step 4: Simplify right side
    27,677x = 1,726,319,401
  5. Step 5: Solve for x
    x = 1,726,319,401/27,677
  6. Step 6: Final answer
    x = 62,373.79

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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.