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Finding the Third Proportional to 16,638 and 22,797

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Solution

The third proportional to 16,638 and 22,797 is: 31,235.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,638 : 22,797 = 22,797 : x
  2. Step 2: Convert to fraction form
    16,638/22,797 = 22,797/x
  3. Step 3: Cross multiply
    16,638x = 22,797 × 22,797
  4. Step 4: Simplify right side
    16,638x = 519,703,209
  5. Step 5: Solve for x
    x = 519,703,209/16,638
  6. Step 6: Final answer
    x = 31,235.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.