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Finding the Third Proportional to 41,027 and 96,593.75

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Solution

The third proportional to 41,027 and 96,593.75 is: 227,419.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,027 : 96,593.75 = 96,593.75 : x
  2. Step 2: Convert to fraction form
    41,027/96,593.75 = 96,593.75/x
  3. Step 3: Cross multiply
    41,027x = 96,593.75 × 96,593.75
  4. Step 4: Simplify right side
    41,027x = 9,330,352,539.06
  5. Step 5: Solve for x
    x = 9,330,352,539.06/41,027
  6. Step 6: Final answer
    x = 227,419.81

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.