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Finding the Third Proportional to 25,759.25 and 54,920.75

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Solution

The third proportional to 25,759.25 and 54,920.75 is: 117,095.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,759.25 : 54,920.75 = 54,920.75 : x
  2. Step 2: Convert to fraction form
    25,759.25/54,920.75 = 54,920.75/x
  3. Step 3: Cross multiply
    25,759.25x = 54,920.75 × 54,920.75
  4. Step 4: Simplify right side
    25,759.25x = 3,016,288,780.56
  5. Step 5: Solve for x
    x = 3,016,288,780.56/25,759.25
  6. Step 6: Final answer
    x = 117,095.36

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.