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Finding the Third Proportional to 3,406 and 3,946

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Solution

The third proportional to 3,406 and 3,946 is: 4,571.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406 : 3,946 = 3,946 : x
  2. Step 2: Convert to fraction form
    3,406/3,946 = 3,946/x
  3. Step 3: Cross multiply
    3,406x = 3,946 × 3,946
  4. Step 4: Simplify right side
    3,406x = 15,570,916
  5. Step 5: Solve for x
    x = 15,570,916/3,406
  6. Step 6: Final answer
    x = 4,571.61

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.