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Finding the Third Proportional to 13.03 and 27.42

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Solution

The third proportional to 13.03 and 27.42 is: 57.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.03 : 27.42 = 27.42 : x
  2. Step 2: Convert to fraction form
    13.03/27.42 = 27.42/x
  3. Step 3: Cross multiply
    13.03x = 27.42 × 27.42
  4. Step 4: Simplify right side
    13.03x = 751.96
  5. Step 5: Solve for x
    x = 751.96/13.03
  6. Step 6: Final answer
    x = 57.73

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.