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Finding the Third Proportional to 16,204 and 22,038

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Solution

The third proportional to 16,204 and 22,038 is: 29,972.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,204 : 22,038 = 22,038 : x
  2. Step 2: Convert to fraction form
    16,204/22,038 = 22,038/x
  3. Step 3: Cross multiply
    16,204x = 22,038 × 22,038
  4. Step 4: Simplify right side
    16,204x = 485,673,444
  5. Step 5: Solve for x
    x = 485,673,444/16,204
  6. Step 6: Final answer
    x = 29,972.44

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.