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Finding the Third Proportional to 11,086.88 and 17,227.69

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Solution

The third proportional to 11,086.88 and 17,227.69 is: 26,769.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,086.88 : 17,227.69 = 17,227.69 : x
  2. Step 2: Convert to fraction form
    11,086.88/17,227.69 = 17,227.69/x
  3. Step 3: Cross multiply
    11,086.88x = 17,227.69 × 17,227.69
  4. Step 4: Simplify right side
    11,086.88x = 296,793,216.60
  5. Step 5: Solve for x
    x = 296,793,216.60/11,086.88
  6. Step 6: Final answer
    x = 26,769.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.