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Finding the Third Proportional to 3.22 and 8.52

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Solution

The third proportional to 3.22 and 8.52 is: 22.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.22 : 8.52 = 8.52 : x
  2. Step 2: Convert to fraction form
    3.22/8.52 = 8.52/x
  3. Step 3: Cross multiply
    3.22x = 8.52 × 8.52
  4. Step 4: Simplify right side
    3.22x = 72.53
  5. Step 5: Solve for x
    x = 72.53/3.22
  6. Step 6: Final answer
    x = 22.55

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Why These Related Problems?

These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.