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Finding the Third Proportional to 41,417 and 58,549

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Solution

The third proportional to 41,417 and 58,549 is: 82,767.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,417 : 58,549 = 58,549 : x
  2. Step 2: Convert to fraction form
    41,417/58,549 = 58,549/x
  3. Step 3: Cross multiply
    41,417x = 58,549 × 58,549
  4. Step 4: Simplify right side
    41,417x = 3,427,985,401
  5. Step 5: Solve for x
    x = 3,427,985,401/41,417
  6. Step 6: Final answer
    x = 82,767.59

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.