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Finding the Third Proportional to 25,459.31 and 33,481.69

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Solution

The third proportional to 25,459.31 and 33,481.69 is: 44,031.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,459.31 : 33,481.69 = 33,481.69 : x
  2. Step 2: Convert to fraction form
    25,459.31/33,481.69 = 33,481.69/x
  3. Step 3: Cross multiply
    25,459.31x = 33,481.69 × 33,481.69
  4. Step 4: Simplify right side
    25,459.31x = 1,121,023,397.85
  5. Step 5: Solve for x
    x = 1,121,023,397.85/25,459.31
  6. Step 6: Final answer
    x = 44,031.96

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.