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Finding the Third Proportional to 6,253.88 and 13,211.44

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Solution

The third proportional to 6,253.88 and 13,211.44 is: 27,909.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,253.88 : 13,211.44 = 13,211.44 : x
  2. Step 2: Convert to fraction form
    6,253.88/13,211.44 = 13,211.44/x
  3. Step 3: Cross multiply
    6,253.88x = 13,211.44 × 13,211.44
  4. Step 4: Simplify right side
    6,253.88x = 174,542,080.82
  5. Step 5: Solve for x
    x = 174,542,080.82/6,253.88
  6. Step 6: Final answer
    x = 27,909.43

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Why These Related Problems?

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