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Finding the Third Proportional to 6.06 and 12.71

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Solution

The third proportional to 6.06 and 12.71 is: 26.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.06 : 12.71 = 12.71 : x
  2. Step 2: Convert to fraction form
    6.06/12.71 = 12.71/x
  3. Step 3: Cross multiply
    6.06x = 12.71 × 12.71
  4. Step 4: Simplify right side
    6.06x = 161.52
  5. Step 5: Solve for x
    x = 161.52/6.06
  6. Step 6: Final answer
    x = 26.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.