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Finding the Third Proportional to 25,759.69 and 54,286.88

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Solution

The third proportional to 25,759.69 and 54,286.88 is: 114,406.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,759.69 : 54,286.88 = 54,286.88 : x
  2. Step 2: Convert to fraction form
    25,759.69/54,286.88 = 54,286.88/x
  3. Step 3: Cross multiply
    25,759.69x = 54,286.88 × 54,286.88
  4. Step 4: Simplify right side
    25,759.69x = 2,947,064,797.27
  5. Step 5: Solve for x
    x = 2,947,064,797.27/25,759.69
  6. Step 6: Final answer
    x = 114,406.08

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.