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Finding the Third Proportional to 6 and 12

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Solution

The third proportional to 6 and 12 is: 24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6 : 12 = 12 : x
  2. Step 2: Convert to fraction form
    6/12 = 12/x
  3. Step 3: Cross multiply
    6x = 12 × 12
  4. Step 4: Simplify right side
    6x = 144
  5. Step 5: Solve for x
    x = 144/6
  6. Step 6: Final answer
    x = 24

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Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.