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Finding the Third Proportional to 8,327 and 17,419

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Solution

The third proportional to 8,327 and 17,419 is: 36,438.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,327 : 17,419 = 17,419 : x
  2. Step 2: Convert to fraction form
    8,327/17,419 = 17,419/x
  3. Step 3: Cross multiply
    8,327x = 17,419 × 17,419
  4. Step 4: Simplify right side
    8,327x = 303,421,561
  5. Step 5: Solve for x
    x = 303,421,561/8,327
  6. Step 6: Final answer
    x = 36,438.28

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.