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Finding the Third Proportional to 2.98 and 7.02

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Solution

The third proportional to 2.98 and 7.02 is: 16.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.98 : 7.02 = 7.02 : x
  2. Step 2: Convert to fraction form
    2.98/7.02 = 7.02/x
  3. Step 3: Cross multiply
    2.98x = 7.02 × 7.02
  4. Step 4: Simplify right side
    2.98x = 49.27
  5. Step 5: Solve for x
    x = 49.27/2.98
  6. Step 6: Final answer
    x = 16.55

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.