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Finding the Third Proportional to 40,846 and 62,471

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Solution

The third proportional to 40,846 and 62,471 is: 95,544.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,846 : 62,471 = 62,471 : x
  2. Step 2: Convert to fraction form
    40,846/62,471 = 62,471/x
  3. Step 3: Cross multiply
    40,846x = 62,471 × 62,471
  4. Step 4: Simplify right side
    40,846x = 3,902,625,841
  5. Step 5: Solve for x
    x = 3,902,625,841/40,846
  6. Step 6: Final answer
    x = 95,544.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.