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Finding the Third Proportional to 5,994 and 12,843

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Solution

The third proportional to 5,994 and 12,843 is: 27,517.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,994 : 12,843 = 12,843 : x
  2. Step 2: Convert to fraction form
    5,994/12,843 = 12,843/x
  3. Step 3: Cross multiply
    5,994x = 12,843 × 12,843
  4. Step 4: Simplify right side
    5,994x = 164,942,649
  5. Step 5: Solve for x
    x = 164,942,649/5,994
  6. Step 6: Final answer
    x = 27,517.96

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