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Finding the Third Proportional to 6.13 and 13.48

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Solution

The third proportional to 6.13 and 13.48 is: 29.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.13 : 13.48 = 13.48 : x
  2. Step 2: Convert to fraction form
    6.13/13.48 = 13.48/x
  3. Step 3: Cross multiply
    6.13x = 13.48 × 13.48
  4. Step 4: Simplify right side
    6.13x = 181.78
  5. Step 5: Solve for x
    x = 181.78/6.13
  6. Step 6: Final answer
    x = 29.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.