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Finding the Third Proportional to 10,192 and 13,544

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Solution

The third proportional to 10,192 and 13,544 is: 17,998.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,192 : 13,544 = 13,544 : x
  2. Step 2: Convert to fraction form
    10,192/13,544 = 13,544/x
  3. Step 3: Cross multiply
    10,192x = 13,544 × 13,544
  4. Step 4: Simplify right side
    10,192x = 183,439,936
  5. Step 5: Solve for x
    x = 183,439,936/10,192
  6. Step 6: Final answer
    x = 17,998.42

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.