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Finding the Third Proportional to 20,189 and 43,834

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Solution

The third proportional to 20,189 and 43,834 is: 95,171.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,189 : 43,834 = 43,834 : x
  2. Step 2: Convert to fraction form
    20,189/43,834 = 43,834/x
  3. Step 3: Cross multiply
    20,189x = 43,834 × 43,834
  4. Step 4: Simplify right side
    20,189x = 1,921,419,556
  5. Step 5: Solve for x
    x = 1,921,419,556/20,189
  6. Step 6: Final answer
    x = 95,171.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.