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Finding the Third Proportional to 3,174 and 8,151

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Solution

The third proportional to 3,174 and 8,151 is: 20,932.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174 : 8,151 = 8,151 : x
  2. Step 2: Convert to fraction form
    3,174/8,151 = 8,151/x
  3. Step 3: Cross multiply
    3,174x = 8,151 × 8,151
  4. Step 4: Simplify right side
    3,174x = 66,438,801
  5. Step 5: Solve for x
    x = 66,438,801/3,174
  6. Step 6: Final answer
    x = 20,932.20

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.