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Finding the Third Proportional to 12.68 and 17.12

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Solution

The third proportional to 12.68 and 17.12 is: 23.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.68 : 17.12 = 17.12 : x
  2. Step 2: Convert to fraction form
    12.68/17.12 = 17.12/x
  3. Step 3: Cross multiply
    12.68x = 17.12 × 17.12
  4. Step 4: Simplify right side
    12.68x = 293.15
  5. Step 5: Solve for x
    x = 293.15/12.68
  6. Step 6: Final answer
    x = 23.11

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.