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Finding the Third Proportional to 39,227 and 59,867

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Solution

The third proportional to 39,227 and 59,867 is: 91,367.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,227 : 59,867 = 59,867 : x
  2. Step 2: Convert to fraction form
    39,227/59,867 = 59,867/x
  3. Step 3: Cross multiply
    39,227x = 59,867 × 59,867
  4. Step 4: Simplify right side
    39,227x = 3,584,057,689
  5. Step 5: Solve for x
    x = 3,584,057,689/39,227
  6. Step 6: Final answer
    x = 91,367.11

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