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Finding the Third Proportional to 5,800 and 12,694

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Solution

The third proportional to 5,800 and 12,694 is: 27,782.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,800 : 12,694 = 12,694 : x
  2. Step 2: Convert to fraction form
    5,800/12,694 = 12,694/x
  3. Step 3: Cross multiply
    5,800x = 12,694 × 12,694
  4. Step 4: Simplify right side
    5,800x = 161,137,636
  5. Step 5: Solve for x
    x = 161,137,636/5,800
  6. Step 6: Final answer
    x = 27,782.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.