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Finding the Third Proportional to 8,031 and 17,519

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Solution

The third proportional to 8,031 and 17,519 is: 38,216.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,031 : 17,519 = 17,519 : x
  2. Step 2: Convert to fraction form
    8,031/17,519 = 17,519/x
  3. Step 3: Cross multiply
    8,031x = 17,519 × 17,519
  4. Step 4: Simplify right side
    8,031x = 306,915,361
  5. Step 5: Solve for x
    x = 306,915,361/8,031
  6. Step 6: Final answer
    x = 38,216.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.