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Finding the Third Proportional to 6.69 and 13.72

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Solution

The third proportional to 6.69 and 13.72 is: 28.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.69 : 13.72 = 13.72 : x
  2. Step 2: Convert to fraction form
    6.69/13.72 = 13.72/x
  3. Step 3: Cross multiply
    6.69x = 13.72 × 13.72
  4. Step 4: Simplify right side
    6.69x = 188.35
  5. Step 5: Solve for x
    x = 188.35/6.69
  6. Step 6: Final answer
    x = 28.17

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.