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Finding the Third Proportional to 6.68 and 14.61

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Solution

The third proportional to 6.68 and 14.61 is: 31.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.68 : 14.61 = 14.61 : x
  2. Step 2: Convert to fraction form
    6.68/14.61 = 14.61/x
  3. Step 3: Cross multiply
    6.68x = 14.61 × 14.61
  4. Step 4: Simplify right side
    6.68x = 213.54
  5. Step 5: Solve for x
    x = 213.54/6.68
  6. Step 6: Final answer
    x = 31.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.