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Finding the Third Proportional to 12.99 and 20.20

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Solution

The third proportional to 12.99 and 20.20 is: 31.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.99 : 20.20 = 20.20 : x
  2. Step 2: Convert to fraction form
    12.99/20.20 = 20.20/x
  3. Step 3: Cross multiply
    12.99x = 20.20 × 20.20
  4. Step 4: Simplify right side
    12.99x = 408.06
  5. Step 5: Solve for x
    x = 408.06/12.99
  6. Step 6: Final answer
    x = 31.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.