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Finding the Third Proportional to 13.37 and 20.05

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Solution

The third proportional to 13.37 and 20.05 is: 30.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.37 : 20.05 = 20.05 : x
  2. Step 2: Convert to fraction form
    13.37/20.05 = 20.05/x
  3. Step 3: Cross multiply
    13.37x = 20.05 × 20.05
  4. Step 4: Simplify right side
    13.37x = 402.09
  5. Step 5: Solve for x
    x = 402.09/13.37
  6. Step 6: Final answer
    x = 30.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.