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Finding the Third Proportional to 18,626 and 38,809

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Solution

The third proportional to 18,626 and 38,809 is: 80,862.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,626 : 38,809 = 38,809 : x
  2. Step 2: Convert to fraction form
    18,626/38,809 = 38,809/x
  3. Step 3: Cross multiply
    18,626x = 38,809 × 38,809
  4. Step 4: Simplify right side
    18,626x = 1,506,138,481
  5. Step 5: Solve for x
    x = 1,506,138,481/18,626
  6. Step 6: Final answer
    x = 80,862.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.