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Finding the Third Proportional to 18,226 and 38,626

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Solution

The third proportional to 18,226 and 38,626 is: 81,859.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,226 : 38,626 = 38,626 : x
  2. Step 2: Convert to fraction form
    18,226/38,626 = 38,626/x
  3. Step 3: Cross multiply
    18,226x = 38,626 × 38,626
  4. Step 4: Simplify right side
    18,226x = 1,491,967,876
  5. Step 5: Solve for x
    x = 1,491,967,876/18,226
  6. Step 6: Final answer
    x = 81,859.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.