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Finding the Third Proportional to 8,174 and 17,302

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Solution

The third proportional to 8,174 and 17,302 is: 36,623.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174 : 17,302 = 17,302 : x
  2. Step 2: Convert to fraction form
    8,174/17,302 = 17,302/x
  3. Step 3: Cross multiply
    8,174x = 17,302 × 17,302
  4. Step 4: Simplify right side
    8,174x = 299,359,204
  5. Step 5: Solve for x
    x = 299,359,204/8,174
  6. Step 6: Final answer
    x = 36,623.34

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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.