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Finding the Third Proportional to 19,757.25 and 27,789.75

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Solution

The third proportional to 19,757.25 and 27,789.75 is: 39,087.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,757.25 : 27,789.75 = 27,789.75 : x
  2. Step 2: Convert to fraction form
    19,757.25/27,789.75 = 27,789.75/x
  3. Step 3: Cross multiply
    19,757.25x = 27,789.75 × 27,789.75
  4. Step 4: Simplify right side
    19,757.25x = 772,270,205.06
  5. Step 5: Solve for x
    x = 772,270,205.06/19,757.25
  6. Step 6: Final answer
    x = 39,087.94

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.