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Finding the Third Proportional to 18,114 and 38,193

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Solution

The third proportional to 18,114 and 38,193 is: 80,529.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,114 : 38,193 = 38,193 : x
  2. Step 2: Convert to fraction form
    18,114/38,193 = 38,193/x
  3. Step 3: Cross multiply
    18,114x = 38,193 × 38,193
  4. Step 4: Simplify right side
    18,114x = 1,458,705,249
  5. Step 5: Solve for x
    x = 1,458,705,249/18,114
  6. Step 6: Final answer
    x = 80,529.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.