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Finding the Third Proportional to 16,857 and 22,234.50

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Solution

The third proportional to 16,857 and 22,234.50 is: 29,327.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,857 : 22,234.50 = 22,234.50 : x
  2. Step 2: Convert to fraction form
    16,857/22,234.50 = 22,234.50/x
  3. Step 3: Cross multiply
    16,857x = 22,234.50 × 22,234.50
  4. Step 4: Simplify right side
    16,857x = 494,372,990.25
  5. Step 5: Solve for x
    x = 494,372,990.25/16,857
  6. Step 6: Final answer
    x = 29,327.46

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.