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Finding the Third Proportional to 17,224 and 19,016

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Solution

The third proportional to 17,224 and 19,016 is: 20,994.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,224 : 19,016 = 19,016 : x
  2. Step 2: Convert to fraction form
    17,224/19,016 = 19,016/x
  3. Step 3: Cross multiply
    17,224x = 19,016 × 19,016
  4. Step 4: Simplify right side
    17,224x = 361,608,256
  5. Step 5: Solve for x
    x = 361,608,256/17,224
  6. Step 6: Final answer
    x = 20,994.44

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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.