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Finding the Third Proportional to 25,865.97 and 55,694.82

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Solution

The third proportional to 25,865.97 and 55,694.82 is: 119,922.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,865.97 : 55,694.82 = 55,694.82 : x
  2. Step 2: Convert to fraction form
    25,865.97/55,694.82 = 55,694.82/x
  3. Step 3: Cross multiply
    25,865.97x = 55,694.82 × 55,694.82
  4. Step 4: Simplify right side
    25,865.97x = 3,101,912,628.92
  5. Step 5: Solve for x
    x = 3,101,912,628.92/25,865.97
  6. Step 6: Final answer
    x = 119,922.52

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.