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Finding the Third Proportional to 12,192 and 18,376

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Solution

The third proportional to 12,192 and 18,376 is: 27,696.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,192 : 18,376 = 18,376 : x
  2. Step 2: Convert to fraction form
    12,192/18,376 = 18,376/x
  3. Step 3: Cross multiply
    12,192x = 18,376 × 18,376
  4. Step 4: Simplify right side
    12,192x = 337,677,376
  5. Step 5: Solve for x
    x = 337,677,376/12,192
  6. Step 6: Final answer
    x = 27,696.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.