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Finding the Third Proportional to 6.65 and 14.11

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Solution

The third proportional to 6.65 and 14.11 is: 29.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.65 : 14.11 = 14.11 : x
  2. Step 2: Convert to fraction form
    6.65/14.11 = 14.11/x
  3. Step 3: Cross multiply
    6.65x = 14.11 × 14.11
  4. Step 4: Simplify right side
    6.65x = 199.15
  5. Step 5: Solve for x
    x = 199.15/6.65
  6. Step 6: Final answer
    x = 29.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.