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Finding the Third Proportional to 3,212 and 6,958

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Solution

The third proportional to 3,212 and 6,958 is: 15,072.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212 : 6,958 = 6,958 : x
  2. Step 2: Convert to fraction form
    3,212/6,958 = 6,958/x
  3. Step 3: Cross multiply
    3,212x = 6,958 × 6,958
  4. Step 4: Simplify right side
    3,212x = 48,413,764
  5. Step 5: Solve for x
    x = 48,413,764/3,212
  6. Step 6: Final answer
    x = 15,072.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.