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Finding the Third Proportional to 20,151 and 44,189

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Solution

The third proportional to 20,151 and 44,189 is: 96,901.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,151 : 44,189 = 44,189 : x
  2. Step 2: Convert to fraction form
    20,151/44,189 = 44,189/x
  3. Step 3: Cross multiply
    20,151x = 44,189 × 44,189
  4. Step 4: Simplify right side
    20,151x = 1,952,667,721
  5. Step 5: Solve for x
    x = 1,952,667,721/20,151
  6. Step 6: Final answer
    x = 96,901.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.