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Finding the Third Proportional to 6.44 and 9.44

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Solution

The third proportional to 6.44 and 9.44 is: 13.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.44 : 9.44 = 9.44 : x
  2. Step 2: Convert to fraction form
    6.44/9.44 = 9.44/x
  3. Step 3: Cross multiply
    6.44x = 9.44 × 9.44
  4. Step 4: Simplify right side
    6.44x = 89.07
  5. Step 5: Solve for x
    x = 89.07/6.44
  6. Step 6: Final answer
    x = 13.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.