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Finding the Third Proportional to 5,293.69 and 11,267.44

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Solution

The third proportional to 5,293.69 and 11,267.44 is: 23,982.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.69 : 11,267.44 = 11,267.44 : x
  2. Step 2: Convert to fraction form
    5,293.69/11,267.44 = 11,267.44/x
  3. Step 3: Cross multiply
    5,293.69x = 11,267.44 × 11,267.44
  4. Step 4: Simplify right side
    5,293.69x = 126,955,147.82
  5. Step 5: Solve for x
    x = 126,955,147.82/5,293.69
  6. Step 6: Final answer
    x = 23,982.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.