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Finding the Third Proportional to 8.24 and 18.39

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Solution

The third proportional to 8.24 and 18.39 is: 41.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.24 : 18.39 = 18.39 : x
  2. Step 2: Convert to fraction form
    8.24/18.39 = 18.39/x
  3. Step 3: Cross multiply
    8.24x = 18.39 × 18.39
  4. Step 4: Simplify right side
    8.24x = 338.19
  5. Step 5: Solve for x
    x = 338.19/8.24
  6. Step 6: Final answer
    x = 41.02

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.