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Finding the Third Proportional to 3.68 and 7.37

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Solution

The third proportional to 3.68 and 7.37 is: 14.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.68 : 7.37 = 7.37 : x
  2. Step 2: Convert to fraction form
    3.68/7.37 = 7.37/x
  3. Step 3: Cross multiply
    3.68x = 7.37 × 7.37
  4. Step 4: Simplify right side
    3.68x = 54.28
  5. Step 5: Solve for x
    x = 54.28/3.68
  6. Step 6: Final answer
    x = 14.74

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.