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Finding the Third Proportional to 8,797 and 17,831

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Solution

The third proportional to 8,797 and 17,831 is: 36,142.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,797 : 17,831 = 17,831 : x
  2. Step 2: Convert to fraction form
    8,797/17,831 = 17,831/x
  3. Step 3: Cross multiply
    8,797x = 17,831 × 17,831
  4. Step 4: Simplify right side
    8,797x = 317,944,561
  5. Step 5: Solve for x
    x = 317,944,561/8,797
  6. Step 6: Final answer
    x = 36,142.39

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.