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Finding the Third Proportional to 6.05 and 12.47

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Solution

The third proportional to 6.05 and 12.47 is: 25.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.05 : 12.47 = 12.47 : x
  2. Step 2: Convert to fraction form
    6.05/12.47 = 12.47/x
  3. Step 3: Cross multiply
    6.05x = 12.47 × 12.47
  4. Step 4: Simplify right side
    6.05x = 155.47
  5. Step 5: Solve for x
    x = 155.47/6.05
  6. Step 6: Final answer
    x = 25.71

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.