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Finding the Third Proportional to 3.94 and 7.28

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Solution

The third proportional to 3.94 and 7.28 is: 13.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.94 : 7.28 = 7.28 : x
  2. Step 2: Convert to fraction form
    3.94/7.28 = 7.28/x
  3. Step 3: Cross multiply
    3.94x = 7.28 × 7.28
  4. Step 4: Simplify right side
    3.94x = 53.02
  5. Step 5: Solve for x
    x = 53.02/3.94
  6. Step 6: Final answer
    x = 13.46

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.