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Finding the Third Proportional to 11,824.31 and 25,442.44

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Solution

The third proportional to 11,824.31 and 25,442.44 is: 54,744.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,824.31 : 25,442.44 = 25,442.44 : x
  2. Step 2: Convert to fraction form
    11,824.31/25,442.44 = 25,442.44/x
  3. Step 3: Cross multiply
    11,824.31x = 25,442.44 × 25,442.44
  4. Step 4: Simplify right side
    11,824.31x = 647,317,625.94
  5. Step 5: Solve for x
    x = 647,317,625.94/11,824.31
  6. Step 6: Final answer
    x = 54,744.63

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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.