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Finding the Third Proportional to 7,847 and 17,274

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Solution

The third proportional to 7,847 and 17,274 is: 38,026.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847 : 17,274 = 17,274 : x
  2. Step 2: Convert to fraction form
    7,847/17,274 = 17,274/x
  3. Step 3: Cross multiply
    7,847x = 17,274 × 17,274
  4. Step 4: Simplify right side
    7,847x = 298,391,076
  5. Step 5: Solve for x
    x = 298,391,076/7,847
  6. Step 6: Final answer
    x = 38,026.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.