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Finding the Third Proportional to 40,241 and 62,662

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Solution

The third proportional to 40,241 and 62,662 is: 97,575.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,241 : 62,662 = 62,662 : x
  2. Step 2: Convert to fraction form
    40,241/62,662 = 62,662/x
  3. Step 3: Cross multiply
    40,241x = 62,662 × 62,662
  4. Step 4: Simplify right side
    40,241x = 3,926,526,244
  5. Step 5: Solve for x
    x = 3,926,526,244/40,241
  6. Step 6: Final answer
    x = 97,575.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.