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Finding the Third Proportional to 8,221 and 18,079

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Solution

The third proportional to 8,221 and 18,079 is: 39,757.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221 : 18,079 = 18,079 : x
  2. Step 2: Convert to fraction form
    8,221/18,079 = 18,079/x
  3. Step 3: Cross multiply
    8,221x = 18,079 × 18,079
  4. Step 4: Simplify right side
    8,221x = 326,850,241
  5. Step 5: Solve for x
    x = 326,850,241/8,221
  6. Step 6: Final answer
    x = 39,757.97

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.