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Finding the Third Proportional to 11,994 and 17,949

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Solution

The third proportional to 11,994 and 17,949 is: 26,860.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,994 : 17,949 = 17,949 : x
  2. Step 2: Convert to fraction form
    11,994/17,949 = 17,949/x
  3. Step 3: Cross multiply
    11,994x = 17,949 × 17,949
  4. Step 4: Simplify right side
    11,994x = 322,166,601
  5. Step 5: Solve for x
    x = 322,166,601/11,994
  6. Step 6: Final answer
    x = 26,860.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.