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Finding the Third Proportional to 41,841 and 58,523

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Solution

The third proportional to 41,841 and 58,523 is: 81,856.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,841 : 58,523 = 58,523 : x
  2. Step 2: Convert to fraction form
    41,841/58,523 = 58,523/x
  3. Step 3: Cross multiply
    41,841x = 58,523 × 58,523
  4. Step 4: Simplify right side
    41,841x = 3,424,941,529
  5. Step 5: Solve for x
    x = 3,424,941,529/41,841
  6. Step 6: Final answer
    x = 81,856.11

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.