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Finding the Third Proportional to 20,181.75 and 43,996.38

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Solution

The third proportional to 20,181.75 and 43,996.38 is: 95,912.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,181.75 : 43,996.38 = 43,996.38 : x
  2. Step 2: Convert to fraction form
    20,181.75/43,996.38 = 43,996.38/x
  3. Step 3: Cross multiply
    20,181.75x = 43,996.38 × 43,996.38
  4. Step 4: Simplify right side
    20,181.75x = 1,935,681,013.14
  5. Step 5: Solve for x
    x = 1,935,681,013.14/20,181.75
  6. Step 6: Final answer
    x = 95,912.45

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.