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Finding the Third Proportional to 20,147 and 44,181

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Solution

The third proportional to 20,147 and 44,181 is: 96,885.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,147 : 44,181 = 44,181 : x
  2. Step 2: Convert to fraction form
    20,147/44,181 = 44,181/x
  3. Step 3: Cross multiply
    20,147x = 44,181 × 44,181
  4. Step 4: Simplify right side
    20,147x = 1,951,960,761
  5. Step 5: Solve for x
    x = 1,951,960,761/20,147
  6. Step 6: Final answer
    x = 96,885.93

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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.