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Finding the Third Proportional to 3.32 and 7.08

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Solution

The third proportional to 3.32 and 7.08 is: 15.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.32 : 7.08 = 7.08 : x
  2. Step 2: Convert to fraction form
    3.32/7.08 = 7.08/x
  3. Step 3: Cross multiply
    3.32x = 7.08 × 7.08
  4. Step 4: Simplify right side
    3.32x = 50.13
  5. Step 5: Solve for x
    x = 50.13/3.32
  6. Step 6: Final answer
    x = 15.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.