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Finding the Third Proportional to 8 and 9.44

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Solution

The third proportional to 8 and 9.44 is: 11.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8 : 9.44 = 9.44 : x
  2. Step 2: Convert to fraction form
    8/9.44 = 9.44/x
  3. Step 3: Cross multiply
    8x = 9.44 × 9.44
  4. Step 4: Simplify right side
    8x = 89.07
  5. Step 5: Solve for x
    x = 89.07/8
  6. Step 6: Final answer
    x = 11.13

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.