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Finding the Third Proportional to 3.80 and 8.23

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Solution

The third proportional to 3.80 and 8.23 is: 17.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.80 : 8.23 = 8.23 : x
  2. Step 2: Convert to fraction form
    3.80/8.23 = 8.23/x
  3. Step 3: Cross multiply
    3.80x = 8.23 × 8.23
  4. Step 4: Simplify right side
    3.80x = 67.68
  5. Step 5: Solve for x
    x = 67.68/3.80
  6. Step 6: Final answer
    x = 17.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.