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Finding the Third Proportional to 5,221.88 and 11,267.44

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Solution

The third proportional to 5,221.88 and 11,267.44 is: 24,312.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.88 : 11,267.44 = 11,267.44 : x
  2. Step 2: Convert to fraction form
    5,221.88/11,267.44 = 11,267.44/x
  3. Step 3: Cross multiply
    5,221.88x = 11,267.44 × 11,267.44
  4. Step 4: Simplify right side
    5,221.88x = 126,955,147.82
  5. Step 5: Solve for x
    x = 126,955,147.82/5,221.88
  6. Step 6: Final answer
    x = 24,312.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.