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Finding the Third Proportional to 11.89 and 17.71

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Solution

The third proportional to 11.89 and 17.71 is: 26.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.89 : 17.71 = 17.71 : x
  2. Step 2: Convert to fraction form
    11.89/17.71 = 17.71/x
  3. Step 3: Cross multiply
    11.89x = 17.71 × 17.71
  4. Step 4: Simplify right side
    11.89x = 313.48
  5. Step 5: Solve for x
    x = 313.48/11.89
  6. Step 6: Final answer
    x = 26.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.