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Finding the Third Proportional to 2,638 and 6,107

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Solution

The third proportional to 2,638 and 6,107 is: 14,137.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638 : 6,107 = 6,107 : x
  2. Step 2: Convert to fraction form
    2,638/6,107 = 6,107/x
  3. Step 3: Cross multiply
    2,638x = 6,107 × 6,107
  4. Step 4: Simplify right side
    2,638x = 37,295,449
  5. Step 5: Solve for x
    x = 37,295,449/2,638
  6. Step 6: Final answer
    x = 14,137.77

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.