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Finding the Third Proportional to 3.05 and 7.02

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Solution

The third proportional to 3.05 and 7.02 is: 16.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.05 : 7.02 = 7.02 : x
  2. Step 2: Convert to fraction form
    3.05/7.02 = 7.02/x
  3. Step 3: Cross multiply
    3.05x = 7.02 × 7.02
  4. Step 4: Simplify right side
    3.05x = 49.23
  5. Step 5: Solve for x
    x = 49.23/3.05
  6. Step 6: Final answer
    x = 16.14

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.