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Finding the Third Proportional to 34,801.31 and 75,850.31

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Solution

The third proportional to 34,801.31 and 75,850.31 is: 165,317.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,801.31 : 75,850.31 = 75,850.31 : x
  2. Step 2: Convert to fraction form
    34,801.31/75,850.31 = 75,850.31/x
  3. Step 3: Cross multiply
    34,801.31x = 75,850.31 × 75,850.31
  4. Step 4: Simplify right side
    34,801.31x = 5,753,269,906.35
  5. Step 5: Solve for x
    x = 5,753,269,906.35/34,801.31
  6. Step 6: Final answer
    x = 165,317.61

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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.