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Finding the Third Proportional to 3,067.88 and 6,272.44

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Solution

The third proportional to 3,067.88 and 6,272.44 is: 12,824.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.88 : 6,272.44 = 6,272.44 : x
  2. Step 2: Convert to fraction form
    3,067.88/6,272.44 = 6,272.44/x
  3. Step 3: Cross multiply
    3,067.88x = 6,272.44 × 6,272.44
  4. Step 4: Simplify right side
    3,067.88x = 39,343,472.19
  5. Step 5: Solve for x
    x = 39,343,472.19/3,067.88
  6. Step 6: Final answer
    x = 12,824.34

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.