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Finding the Third Proportional to 7.06 and 12.12

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Solution

The third proportional to 7.06 and 12.12 is: 20.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.06 : 12.12 = 12.12 : x
  2. Step 2: Convert to fraction form
    7.06/12.12 = 12.12/x
  3. Step 3: Cross multiply
    7.06x = 12.12 × 12.12
  4. Step 4: Simplify right side
    7.06x = 146.91
  5. Step 5: Solve for x
    x = 146.91/7.06
  6. Step 6: Final answer
    x = 20.80

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.