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Finding the Third Proportional to 8,325 and 18,009

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Solution

The third proportional to 8,325 and 18,009 is: 38,957.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,325 : 18,009 = 18,009 : x
  2. Step 2: Convert to fraction form
    8,325/18,009 = 18,009/x
  3. Step 3: Cross multiply
    8,325x = 18,009 × 18,009
  4. Step 4: Simplify right side
    8,325x = 324,324,081
  5. Step 5: Solve for x
    x = 324,324,081/8,325
  6. Step 6: Final answer
    x = 38,957.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.