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Finding the Third Proportional to 8.09 and 11.94

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Solution

The third proportional to 8.09 and 11.94 is: 17.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.09 : 11.94 = 11.94 : x
  2. Step 2: Convert to fraction form
    8.09/11.94 = 11.94/x
  3. Step 3: Cross multiply
    8.09x = 11.94 × 11.94
  4. Step 4: Simplify right side
    8.09x = 142.67
  5. Step 5: Solve for x
    x = 142.67/8.09
  6. Step 6: Final answer
    x = 17.63

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.