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Finding the Third Proportional to 3,211 and 5,942

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Solution

The third proportional to 3,211 and 5,942 is: 10,995.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211 : 5,942 = 5,942 : x
  2. Step 2: Convert to fraction form
    3,211/5,942 = 5,942/x
  3. Step 3: Cross multiply
    3,211x = 5,942 × 5,942
  4. Step 4: Simplify right side
    3,211x = 35,307,364
  5. Step 5: Solve for x
    x = 35,307,364/3,211
  6. Step 6: Final answer
    x = 10,995.75

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.