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Finding the Third Proportional to 8,102 and 17,174

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Solution

The third proportional to 8,102 and 17,174 is: 36,404.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102 : 17,174 = 17,174 : x
  2. Step 2: Convert to fraction form
    8,102/17,174 = 17,174/x
  3. Step 3: Cross multiply
    8,102x = 17,174 × 17,174
  4. Step 4: Simplify right side
    8,102x = 294,946,276
  5. Step 5: Solve for x
    x = 294,946,276/8,102
  6. Step 6: Final answer
    x = 36,404.13

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.