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Finding the Third Proportional to 3,212 and 5,872

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Solution

The third proportional to 3,212 and 5,872 is: 10,734.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212 : 5,872 = 5,872 : x
  2. Step 2: Convert to fraction form
    3,212/5,872 = 5,872/x
  3. Step 3: Cross multiply
    3,212x = 5,872 × 5,872
  4. Step 4: Simplify right side
    3,212x = 34,480,384
  5. Step 5: Solve for x
    x = 34,480,384/3,212
  6. Step 6: Final answer
    x = 10,734.86

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.