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Finding the Third Proportional to 3,318 and 6,907

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Solution

The third proportional to 3,318 and 6,907 is: 14,378.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,318 : 6,907 = 6,907 : x
  2. Step 2: Convert to fraction form
    3,318/6,907 = 6,907/x
  3. Step 3: Cross multiply
    3,318x = 6,907 × 6,907
  4. Step 4: Simplify right side
    3,318x = 47,706,649
  5. Step 5: Solve for x
    x = 47,706,649/3,318
  6. Step 6: Final answer
    x = 14,378.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.