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Finding the Third Proportional to 20,189 and 43,877

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Solution

The third proportional to 20,189 and 43,877 is: 95,358.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,189 : 43,877 = 43,877 : x
  2. Step 2: Convert to fraction form
    20,189/43,877 = 43,877/x
  3. Step 3: Cross multiply
    20,189x = 43,877 × 43,877
  4. Step 4: Simplify right side
    20,189x = 1,925,191,129
  5. Step 5: Solve for x
    x = 1,925,191,129/20,189
  6. Step 6: Final answer
    x = 95,358.42

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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.