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Finding the Third Proportional to 1,794 and 3,942

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Solution

The third proportional to 1,794 and 3,942 is: 8,661.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794 : 3,942 = 3,942 : x
  2. Step 2: Convert to fraction form
    1,794/3,942 = 3,942/x
  3. Step 3: Cross multiply
    1,794x = 3,942 × 3,942
  4. Step 4: Simplify right side
    1,794x = 15,539,364
  5. Step 5: Solve for x
    x = 15,539,364/1,794
  6. Step 6: Final answer
    x = 8,661.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.