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Finding the Third Proportional to 3,191 and 6,907

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Solution

The third proportional to 3,191 and 6,907 is: 14,950.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191 : 6,907 = 6,907 : x
  2. Step 2: Convert to fraction form
    3,191/6,907 = 6,907/x
  3. Step 3: Cross multiply
    3,191x = 6,907 × 6,907
  4. Step 4: Simplify right side
    3,191x = 47,706,649
  5. Step 5: Solve for x
    x = 47,706,649/3,191
  6. Step 6: Final answer
    x = 14,950.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.