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Finding the Third Proportional to 6.07 and 8.96

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Solution

The third proportional to 6.07 and 8.96 is: 13.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.07 : 8.96 = 8.96 : x
  2. Step 2: Convert to fraction form
    6.07/8.96 = 8.96/x
  3. Step 3: Cross multiply
    6.07x = 8.96 × 8.96
  4. Step 4: Simplify right side
    6.07x = 80.25
  5. Step 5: Solve for x
    x = 80.25/6.07
  6. Step 6: Final answer
    x = 13.22

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.