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Finding the Third Proportional to 6.05 and 9.08

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Solution

The third proportional to 6.05 and 9.08 is: 13.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.05 : 9.08 = 9.08 : x
  2. Step 2: Convert to fraction form
    6.05/9.08 = 9.08/x
  3. Step 3: Cross multiply
    6.05x = 9.08 × 9.08
  4. Step 4: Simplify right side
    6.05x = 82.39
  5. Step 5: Solve for x
    x = 82.39/6.05
  6. Step 6: Final answer
    x = 13.62

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.