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Finding the Third Proportional to 2.02 and 3.37

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Solution

The third proportional to 2.02 and 3.37 is: 5.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.02 : 3.37 = 3.37 : x
  2. Step 2: Convert to fraction form
    2.02/3.37 = 3.37/x
  3. Step 3: Cross multiply
    2.02x = 3.37 × 3.37
  4. Step 4: Simplify right side
    2.02x = 11.33
  5. Step 5: Solve for x
    x = 11.33/2.02
  6. Step 6: Final answer
    x = 5.60

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.