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Finding the Third Proportional to 12,192 and 19,372

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Solution

The third proportional to 12,192 and 19,372 is: 30,780.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,192 : 19,372 = 19,372 : x
  2. Step 2: Convert to fraction form
    12,192/19,372 = 19,372/x
  3. Step 3: Cross multiply
    12,192x = 19,372 × 19,372
  4. Step 4: Simplify right side
    12,192x = 375,274,384
  5. Step 5: Solve for x
    x = 375,274,384/12,192
  6. Step 6: Final answer
    x = 30,780.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.