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Finding the Third Proportional to 12.94 and 20.34

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Solution

The third proportional to 12.94 and 20.34 is: 31.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.94 : 20.34 = 20.34 : x
  2. Step 2: Convert to fraction form
    12.94/20.34 = 20.34/x
  3. Step 3: Cross multiply
    12.94x = 20.34 × 20.34
  4. Step 4: Simplify right side
    12.94x = 413.87
  5. Step 5: Solve for x
    x = 413.87/12.94
  6. Step 6: Final answer
    x = 31.99

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.