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Finding the Third Proportional to 3,409 and 4,144

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Solution

The third proportional to 3,409 and 4,144 is: 5,037.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409 : 4,144 = 4,144 : x
  2. Step 2: Convert to fraction form
    3,409/4,144 = 4,144/x
  3. Step 3: Cross multiply
    3,409x = 4,144 × 4,144
  4. Step 4: Simplify right side
    3,409x = 17,172,736
  5. Step 5: Solve for x
    x = 17,172,736/3,409
  6. Step 6: Final answer
    x = 5,037.47

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.