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Finding the Third Proportional to 4,116 and 6,449

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Solution

The third proportional to 4,116 and 6,449 is: 10,104.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116 : 6,449 = 6,449 : x
  2. Step 2: Convert to fraction form
    4,116/6,449 = 6,449/x
  3. Step 3: Cross multiply
    4,116x = 6,449 × 6,449
  4. Step 4: Simplify right side
    4,116x = 41,589,601
  5. Step 5: Solve for x
    x = 41,589,601/4,116
  6. Step 6: Final answer
    x = 10,104.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.