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Finding the Third Proportional to 6.27 and 9.24

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Solution

The third proportional to 6.27 and 9.24 is: 13.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.27 : 9.24 = 9.24 : x
  2. Step 2: Convert to fraction form
    6.27/9.24 = 9.24/x
  3. Step 3: Cross multiply
    6.27x = 9.24 × 9.24
  4. Step 4: Simplify right side
    6.27x = 85.38
  5. Step 5: Solve for x
    x = 85.38/6.27
  6. Step 6: Final answer
    x = 13.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.