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Finding the Third Proportional to 3,286 and 6,991

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Solution

The third proportional to 3,286 and 6,991 is: 14,873.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286 : 6,991 = 6,991 : x
  2. Step 2: Convert to fraction form
    3,286/6,991 = 6,991/x
  3. Step 3: Cross multiply
    3,286x = 6,991 × 6,991
  4. Step 4: Simplify right side
    3,286x = 48,874,081
  5. Step 5: Solve for x
    x = 48,874,081/3,286
  6. Step 6: Final answer
    x = 14,873.43

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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.