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Finding the Third Proportional to 20,171 and 39,845

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Solution

The third proportional to 20,171 and 39,845 is: 78,708.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,171 : 39,845 = 39,845 : x
  2. Step 2: Convert to fraction form
    20,171/39,845 = 39,845/x
  3. Step 3: Cross multiply
    20,171x = 39,845 × 39,845
  4. Step 4: Simplify right side
    20,171x = 1,587,624,025
  5. Step 5: Solve for x
    x = 1,587,624,025/20,171
  6. Step 6: Final answer
    x = 78,708.25

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These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.