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Finding the Third Proportional to 18,038 and 38,950

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Solution

The third proportional to 18,038 and 38,950 is: 84,105.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,038 : 38,950 = 38,950 : x
  2. Step 2: Convert to fraction form
    18,038/38,950 = 38,950/x
  3. Step 3: Cross multiply
    18,038x = 38,950 × 38,950
  4. Step 4: Simplify right side
    18,038x = 1,517,102,500
  5. Step 5: Solve for x
    x = 1,517,102,500/18,038
  6. Step 6: Final answer
    x = 84,105.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.