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Finding the Third Proportional to 41,840 and 62,853

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Solution

The third proportional to 41,840 and 62,853 is: 94,419.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,840 : 62,853 = 62,853 : x
  2. Step 2: Convert to fraction form
    41,840/62,853 = 62,853/x
  3. Step 3: Cross multiply
    41,840x = 62,853 × 62,853
  4. Step 4: Simplify right side
    41,840x = 3,950,499,609
  5. Step 5: Solve for x
    x = 3,950,499,609/41,840
  6. Step 6: Final answer
    x = 94,419.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.