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Finding the Third Proportional to 6.69 and 11.75

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Solution

The third proportional to 6.69 and 11.75 is: 20.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.69 : 11.75 = 11.75 : x
  2. Step 2: Convert to fraction form
    6.69/11.75 = 11.75/x
  3. Step 3: Cross multiply
    6.69x = 11.75 × 11.75
  4. Step 4: Simplify right side
    6.69x = 138.06
  5. Step 5: Solve for x
    x = 138.06/6.69
  6. Step 6: Final answer
    x = 20.64

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.