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Finding the Third Proportional to 9.94 and 12.78

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Solution

The third proportional to 9.94 and 12.78 is: 16.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.94 : 12.78 = 12.78 : x
  2. Step 2: Convert to fraction form
    9.94/12.78 = 12.78/x
  3. Step 3: Cross multiply
    9.94x = 12.78 × 12.78
  4. Step 4: Simplify right side
    9.94x = 163.36
  5. Step 5: Solve for x
    x = 163.36/9.94
  6. Step 6: Final answer
    x = 16.44

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.