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Finding the Third Proportional to 8.22 and 9.44

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Solution

The third proportional to 8.22 and 9.44 is: 10.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.22 : 9.44 = 9.44 : x
  2. Step 2: Convert to fraction form
    8.22/9.44 = 9.44/x
  3. Step 3: Cross multiply
    8.22x = 9.44 × 9.44
  4. Step 4: Simplify right side
    8.22x = 89.11
  5. Step 5: Solve for x
    x = 89.11/8.22
  6. Step 6: Final answer
    x = 10.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.