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Finding the Third Proportional to 20,427 and 44,247

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Solution

The third proportional to 20,427 and 44,247 is: 95,843.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,427 : 44,247 = 44,247 : x
  2. Step 2: Convert to fraction form
    20,427/44,247 = 44,247/x
  3. Step 3: Cross multiply
    20,427x = 44,247 × 44,247
  4. Step 4: Simplify right side
    20,427x = 1,957,797,009
  5. Step 5: Solve for x
    x = 1,957,797,009/20,427
  6. Step 6: Final answer
    x = 95,843.59

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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.