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Finding the Third Proportional to 18,134 and 38,104

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Solution

The third proportional to 18,134 and 38,104 is: 80,065.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,134 : 38,104 = 38,104 : x
  2. Step 2: Convert to fraction form
    18,134/38,104 = 38,104/x
  3. Step 3: Cross multiply
    18,134x = 38,104 × 38,104
  4. Step 4: Simplify right side
    18,134x = 1,451,914,816
  5. Step 5: Solve for x
    x = 1,451,914,816/18,134
  6. Step 6: Final answer
    x = 80,065.89

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.