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Finding the Third Proportional to 16,850 and 23,622

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Solution

The third proportional to 16,850 and 23,622 is: 33,115.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,850 : 23,622 = 23,622 : x
  2. Step 2: Convert to fraction form
    16,850/23,622 = 23,622/x
  3. Step 3: Cross multiply
    16,850x = 23,622 × 23,622
  4. Step 4: Simplify right side
    16,850x = 557,998,884
  5. Step 5: Solve for x
    x = 557,998,884/16,850
  6. Step 6: Final answer
    x = 33,115.66

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.