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Finding the Third Proportional to 13.03 and 28.03

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Solution

The third proportional to 13.03 and 28.03 is: 60.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.03 : 28.03 = 28.03 : x
  2. Step 2: Convert to fraction form
    13.03/28.03 = 28.03/x
  3. Step 3: Cross multiply
    13.03x = 28.03 × 28.03
  4. Step 4: Simplify right side
    13.03x = 785.75
  5. Step 5: Solve for x
    x = 785.75/13.03
  6. Step 6: Final answer
    x = 60.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.