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Finding the Third Proportional to 2,772 and 6,698

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Solution

The third proportional to 2,772 and 6,698 is: 16,184.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772 : 6,698 = 6,698 : x
  2. Step 2: Convert to fraction form
    2,772/6,698 = 6,698/x
  3. Step 3: Cross multiply
    2,772x = 6,698 × 6,698
  4. Step 4: Simplify right side
    2,772x = 44,863,204
  5. Step 5: Solve for x
    x = 44,863,204/2,772
  6. Step 6: Final answer
    x = 16,184.42

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.