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Finding the Third Proportional to 20,217.66 and 43,871.34

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Solution

The third proportional to 20,217.66 and 43,871.34 is: 95,198.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,217.66 : 43,871.34 = 43,871.34 : x
  2. Step 2: Convert to fraction form
    20,217.66/43,871.34 = 43,871.34/x
  3. Step 3: Cross multiply
    20,217.66x = 43,871.34 × 43,871.34
  4. Step 4: Simplify right side
    20,217.66x = 1,924,694,802.43
  5. Step 5: Solve for x
    x = 1,924,694,802.43/20,217.66
  6. Step 6: Final answer
    x = 95,198.71

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.