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Finding the Third Proportional to 6 and 7.06

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Solution

The third proportional to 6 and 7.06 is: 8.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6 : 7.06 = 7.06 : x
  2. Step 2: Convert to fraction form
    6/7.06 = 7.06/x
  3. Step 3: Cross multiply
    6x = 7.06 × 7.06
  4. Step 4: Simplify right side
    6x = 49.88
  5. Step 5: Solve for x
    x = 49.88/6
  6. Step 6: Final answer
    x = 8.31

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.