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Finding the Third Proportional to 25,998.75 and 41,856.75

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Solution

The third proportional to 25,998.75 and 41,856.75 is: 67,387.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,998.75 : 41,856.75 = 41,856.75 : x
  2. Step 2: Convert to fraction form
    25,998.75/41,856.75 = 41,856.75/x
  3. Step 3: Cross multiply
    25,998.75x = 41,856.75 × 41,856.75
  4. Step 4: Simplify right side
    25,998.75x = 1,751,987,520.56
  5. Step 5: Solve for x
    x = 1,751,987,520.56/25,998.75
  6. Step 6: Final answer
    x = 67,387.38

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.