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Finding the Third Proportional to 20,112 and 44,189

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Solution

The third proportional to 20,112 and 44,189 is: 97,089.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,112 : 44,189 = 44,189 : x
  2. Step 2: Convert to fraction form
    20,112/44,189 = 44,189/x
  3. Step 3: Cross multiply
    20,112x = 44,189 × 44,189
  4. Step 4: Simplify right side
    20,112x = 1,952,667,721
  5. Step 5: Solve for x
    x = 1,952,667,721/20,112
  6. Step 6: Final answer
    x = 97,089.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.