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Finding the Third Proportional to 5,269.22 and 11,514.66

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Solution

The third proportional to 5,269.22 and 11,514.66 is: 25,162.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,269.22 : 11,514.66 = 11,514.66 : x
  2. Step 2: Convert to fraction form
    5,269.22/11,514.66 = 11,514.66/x
  3. Step 3: Cross multiply
    5,269.22x = 11,514.66 × 11,514.66
  4. Step 4: Simplify right side
    5,269.22x = 132,587,308.56
  5. Step 5: Solve for x
    x = 132,587,308.56/5,269.22
  6. Step 6: Final answer
    x = 25,162.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.