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Finding the Third Proportional to 6,800 and 13,798

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Solution

The third proportional to 6,800 and 13,798 is: 27,997.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800 : 13,798 = 13,798 : x
  2. Step 2: Convert to fraction form
    6,800/13,798 = 13,798/x
  3. Step 3: Cross multiply
    6,800x = 13,798 × 13,798
  4. Step 4: Simplify right side
    6,800x = 190,384,804
  5. Step 5: Solve for x
    x = 190,384,804/6,800
  6. Step 6: Final answer
    x = 27,997.77

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.