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Finding the Third Proportional to 18,214 and 38,874

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Solution

The third proportional to 18,214 and 38,874 is: 82,968.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,214 : 38,874 = 38,874 : x
  2. Step 2: Convert to fraction form
    18,214/38,874 = 38,874/x
  3. Step 3: Cross multiply
    18,214x = 38,874 × 38,874
  4. Step 4: Simplify right side
    18,214x = 1,511,187,876
  5. Step 5: Solve for x
    x = 1,511,187,876/18,214
  6. Step 6: Final answer
    x = 82,968.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.