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Finding the Third Proportional to 3.37 and 3.85

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Solution

The third proportional to 3.37 and 3.85 is: 4.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.37 : 3.85 = 3.85 : x
  2. Step 2: Convert to fraction form
    3.37/3.85 = 3.85/x
  3. Step 3: Cross multiply
    3.37x = 3.85 × 3.85
  4. Step 4: Simplify right side
    3.37x = 14.81
  5. Step 5: Solve for x
    x = 14.81/3.37
  6. Step 6: Final answer
    x = 4.40

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.