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Finding the Third Proportional to 20,166 and 43,831

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Solution

The third proportional to 20,166 and 43,831 is: 95,267.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,166 : 43,831 = 43,831 : x
  2. Step 2: Convert to fraction form
    20,166/43,831 = 43,831/x
  3. Step 3: Cross multiply
    20,166x = 43,831 × 43,831
  4. Step 4: Simplify right side
    20,166x = 1,921,156,561
  5. Step 5: Solve for x
    x = 1,921,156,561/20,166
  6. Step 6: Final answer
    x = 95,267.11

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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.