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Finding the Third Proportional to 3.94 and 8.23

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Solution

The third proportional to 3.94 and 8.23 is: 17.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.94 : 8.23 = 8.23 : x
  2. Step 2: Convert to fraction form
    3.94/8.23 = 8.23/x
  3. Step 3: Cross multiply
    3.94x = 8.23 × 8.23
  4. Step 4: Simplify right side
    3.94x = 67.76
  5. Step 5: Solve for x
    x = 67.76/3.94
  6. Step 6: Final answer
    x = 17.22

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.