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Finding the Third Proportional to 6,700 and 13,694

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Solution

The third proportional to 6,700 and 13,694 is: 27,988.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700 : 13,694 = 13,694 : x
  2. Step 2: Convert to fraction form
    6,700/13,694 = 13,694/x
  3. Step 3: Cross multiply
    6,700x = 13,694 × 13,694
  4. Step 4: Simplify right side
    6,700x = 187,525,636
  5. Step 5: Solve for x
    x = 187,525,636/6,700
  6. Step 6: Final answer
    x = 27,988.90

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.