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Finding the Third Proportional to 3.10 and 7.38

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Solution

The third proportional to 3.10 and 7.38 is: 17.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.10 : 7.38 = 7.38 : x
  2. Step 2: Convert to fraction form
    3.10/7.38 = 7.38/x
  3. Step 3: Cross multiply
    3.10x = 7.38 × 7.38
  4. Step 4: Simplify right side
    3.10x = 54.41
  5. Step 5: Solve for x
    x = 54.41/3.10
  6. Step 6: Final answer
    x = 17.55

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.