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Finding the Third Proportional to 2,756 and 6,848

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Solution

The third proportional to 2,756 and 6,848 is: 17,015.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756 : 6,848 = 6,848 : x
  2. Step 2: Convert to fraction form
    2,756/6,848 = 6,848/x
  3. Step 3: Cross multiply
    2,756x = 6,848 × 6,848
  4. Step 4: Simplify right side
    2,756x = 46,895,104
  5. Step 5: Solve for x
    x = 46,895,104/2,756
  6. Step 6: Final answer
    x = 17,015.64

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.