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Finding the Third Proportional to 6.24 and 13.42

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Solution

The third proportional to 6.24 and 13.42 is: 28.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.24 : 13.42 = 13.42 : x
  2. Step 2: Convert to fraction form
    6.24/13.42 = 13.42/x
  3. Step 3: Cross multiply
    6.24x = 13.42 × 13.42
  4. Step 4: Simplify right side
    6.24x = 180.16
  5. Step 5: Solve for x
    x = 180.16/6.24
  6. Step 6: Final answer
    x = 28.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.