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Finding the Third Proportional to 5,993 and 12,799

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Solution

The third proportional to 5,993 and 12,799 is: 27,334.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993 : 12,799 = 12,799 : x
  2. Step 2: Convert to fraction form
    5,993/12,799 = 12,799/x
  3. Step 3: Cross multiply
    5,993x = 12,799 × 12,799
  4. Step 4: Simplify right side
    5,993x = 163,814,401
  5. Step 5: Solve for x
    x = 163,814,401/5,993
  6. Step 6: Final answer
    x = 27,334.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.