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Finding the Third Proportional to 8,102 and 17,327

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Solution

The third proportional to 8,102 and 17,327 is: 37,055.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102 : 17,327 = 17,327 : x
  2. Step 2: Convert to fraction form
    8,102/17,327 = 17,327/x
  3. Step 3: Cross multiply
    8,102x = 17,327 × 17,327
  4. Step 4: Simplify right side
    8,102x = 300,224,929
  5. Step 5: Solve for x
    x = 300,224,929/8,102
  6. Step 6: Final answer
    x = 37,055.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.