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Finding the Third Proportional to 18,082 and 38,939

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Solution

The third proportional to 18,082 and 38,939 is: 83,853.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,082 : 38,939 = 38,939 : x
  2. Step 2: Convert to fraction form
    18,082/38,939 = 38,939/x
  3. Step 3: Cross multiply
    18,082x = 38,939 × 38,939
  4. Step 4: Simplify right side
    18,082x = 1,516,245,721
  5. Step 5: Solve for x
    x = 1,516,245,721/18,082
  6. Step 6: Final answer
    x = 83,853.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.