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Finding the Third Proportional to 6.05 and 8.13

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Solution

The third proportional to 6.05 and 8.13 is: 10.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.05 : 8.13 = 8.13 : x
  2. Step 2: Convert to fraction form
    6.05/8.13 = 8.13/x
  3. Step 3: Cross multiply
    6.05x = 8.13 × 8.13
  4. Step 4: Simplify right side
    6.05x = 66.14
  5. Step 5: Solve for x
    x = 66.14/6.05
  6. Step 6: Final answer
    x = 10.94

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.