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Finding the Third Proportional to 16,222 and 18,634

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Solution

The third proportional to 16,222 and 18,634 is: 21,404.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,222 : 18,634 = 18,634 : x
  2. Step 2: Convert to fraction form
    16,222/18,634 = 18,634/x
  3. Step 3: Cross multiply
    16,222x = 18,634 × 18,634
  4. Step 4: Simplify right side
    16,222x = 347,225,956
  5. Step 5: Solve for x
    x = 347,225,956/16,222
  6. Step 6: Final answer
    x = 21,404.63

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.