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Finding the Third Proportional to 8.23 and 17.96

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Solution

The third proportional to 8.23 and 17.96 is: 39.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.23 : 17.96 = 17.96 : x
  2. Step 2: Convert to fraction form
    8.23/17.96 = 17.96/x
  3. Step 3: Cross multiply
    8.23x = 17.96 × 17.96
  4. Step 4: Simplify right side
    8.23x = 322.74
  5. Step 5: Solve for x
    x = 322.74/8.23
  6. Step 6: Final answer
    x = 39.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.