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Finding the Third Proportional to 12,192 and 18,256

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Solution

The third proportional to 12,192 and 18,256 is: 27,336.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,192 : 18,256 = 18,256 : x
  2. Step 2: Convert to fraction form
    12,192/18,256 = 18,256/x
  3. Step 3: Cross multiply
    12,192x = 18,256 × 18,256
  4. Step 4: Simplify right side
    12,192x = 333,281,536
  5. Step 5: Solve for x
    x = 333,281,536/12,192
  6. Step 6: Final answer
    x = 27,336.08

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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.