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Finding the Third Proportional to 11,922 and 18,576

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Solution

The third proportional to 11,922 and 18,576 is: 28,943.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,922 : 18,576 = 18,576 : x
  2. Step 2: Convert to fraction form
    11,922/18,576 = 18,576/x
  3. Step 3: Cross multiply
    11,922x = 18,576 × 18,576
  4. Step 4: Simplify right side
    11,922x = 345,067,776
  5. Step 5: Solve for x
    x = 345,067,776/11,922
  6. Step 6: Final answer
    x = 28,943.78

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.