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Finding the Third Proportional to 16,192 and 17,824

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Solution

The third proportional to 16,192 and 17,824 is: 19,620.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,192 : 17,824 = 17,824 : x
  2. Step 2: Convert to fraction form
    16,192/17,824 = 17,824/x
  3. Step 3: Cross multiply
    16,192x = 17,824 × 17,824
  4. Step 4: Simplify right side
    16,192x = 317,694,976
  5. Step 5: Solve for x
    x = 317,694,976/16,192
  6. Step 6: Final answer
    x = 19,620.49

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.