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Finding the Third Proportional to 3.34 and 3.60

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Solution

The third proportional to 3.34 and 3.60 is: 3.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.34 : 3.60 = 3.60 : x
  2. Step 2: Convert to fraction form
    3.34/3.60 = 3.60/x
  3. Step 3: Cross multiply
    3.34x = 3.60 × 3.60
  4. Step 4: Simplify right side
    3.34x = 12.93
  5. Step 5: Solve for x
    x = 12.93/3.34
  6. Step 6: Final answer
    x = 3.87

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.