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Finding the Third Proportional to 12,384 and 18,576

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Solution

The third proportional to 12,384 and 18,576 is: 27,864

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384 : 18,576 = 18,576 : x
  2. Step 2: Convert to fraction form
    12,384/18,576 = 18,576/x
  3. Step 3: Cross multiply
    12,384x = 18,576 × 18,576
  4. Step 4: Simplify right side
    12,384x = 345,067,776
  5. Step 5: Solve for x
    x = 345,067,776/12,384
  6. Step 6: Final answer
    x = 27,864

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Why These Related Problems?

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