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Finding the Third Proportional to 8.22 and 17.94

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Solution

The third proportional to 8.22 and 17.94 is: 39.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.22 : 17.94 = 17.94 : x
  2. Step 2: Convert to fraction form
    8.22/17.94 = 17.94/x
  3. Step 3: Cross multiply
    8.22x = 17.94 × 17.94
  4. Step 4: Simplify right side
    8.22x = 321.75
  5. Step 5: Solve for x
    x = 321.75/8.22
  6. Step 6: Final answer
    x = 39.15

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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.