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Finding the Third Proportional to 8,305 and 18,251

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Solution

The third proportional to 8,305 and 18,251 is: 40,108.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305 : 18,251 = 18,251 : x
  2. Step 2: Convert to fraction form
    8,305/18,251 = 18,251/x
  3. Step 3: Cross multiply
    8,305x = 18,251 × 18,251
  4. Step 4: Simplify right side
    8,305x = 333,099,001
  5. Step 5: Solve for x
    x = 333,099,001/8,305
  6. Step 6: Final answer
    x = 40,108.25

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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.