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Finding the Third Proportional to 20,134.41 and 43,727.34

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Solution

The third proportional to 20,134.41 and 43,727.34 is: 94,965.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,134.41 : 43,727.34 = 43,727.34 : x
  2. Step 2: Convert to fraction form
    20,134.41/43,727.34 = 43,727.34/x
  3. Step 3: Cross multiply
    20,134.41x = 43,727.34 × 43,727.34
  4. Step 4: Simplify right side
    20,134.41x = 1,912,080,591.43
  5. Step 5: Solve for x
    x = 1,912,080,591.43/20,134.41
  6. Step 6: Final answer
    x = 94,965.83

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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.