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Finding the Third Proportional to 11.89 and 15.81

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Solution

The third proportional to 11.89 and 15.81 is: 21.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.89 : 15.81 = 15.81 : x
  2. Step 2: Convert to fraction form
    11.89/15.81 = 15.81/x
  3. Step 3: Cross multiply
    11.89x = 15.81 × 15.81
  4. Step 4: Simplify right side
    11.89x = 249.91
  5. Step 5: Solve for x
    x = 249.91/11.89
  6. Step 6: Final answer
    x = 21.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.