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Finding the Third Proportional to 2,849 and 6,109

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Solution

The third proportional to 2,849 and 6,109 is: 13,099.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849 : 6,109 = 6,109 : x
  2. Step 2: Convert to fraction form
    2,849/6,109 = 6,109/x
  3. Step 3: Cross multiply
    2,849x = 6,109 × 6,109
  4. Step 4: Simplify right side
    2,849x = 37,319,881
  5. Step 5: Solve for x
    x = 37,319,881/2,849
  6. Step 6: Final answer
    x = 13,099.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.