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Finding the Third Proportional to 11,828.25 and 25,449.75

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Solution

The third proportional to 11,828.25 and 25,449.75 is: 54,757.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,828.25 : 25,449.75 = 25,449.75 : x
  2. Step 2: Convert to fraction form
    11,828.25/25,449.75 = 25,449.75/x
  3. Step 3: Cross multiply
    11,828.25x = 25,449.75 × 25,449.75
  4. Step 4: Simplify right side
    11,828.25x = 647,689,775.06
  5. Step 5: Solve for x
    x = 647,689,775.06/11,828.25
  6. Step 6: Final answer
    x = 54,757.87

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Why These Related Problems?

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