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Finding the Third Proportional to 6.29 and 9.20

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Solution

The third proportional to 6.29 and 9.20 is: 13.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.29 : 9.20 = 9.20 : x
  2. Step 2: Convert to fraction form
    6.29/9.20 = 9.20/x
  3. Step 3: Cross multiply
    6.29x = 9.20 × 9.20
  4. Step 4: Simplify right side
    6.29x = 84.65
  5. Step 5: Solve for x
    x = 84.65/6.29
  6. Step 6: Final answer
    x = 13.45

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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 (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.