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Finding the Third Proportional to 3.48 and 5.38

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Solution

The third proportional to 3.48 and 5.38 is: 8.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.48 : 5.38 = 5.38 : x
  2. Step 2: Convert to fraction form
    3.48/5.38 = 5.38/x
  3. Step 3: Cross multiply
    3.48x = 5.38 × 5.38
  4. Step 4: Simplify right side
    3.48x = 28.93
  5. Step 5: Solve for x
    x = 28.93/3.48
  6. Step 6: Final answer
    x = 8.31

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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.