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Finding the Third Proportional to 17,325 and 38,538

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Solution

The third proportional to 17,325 and 38,538 is: 85,724.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,325 : 38,538 = 38,538 : x
  2. Step 2: Convert to fraction form
    17,325/38,538 = 38,538/x
  3. Step 3: Cross multiply
    17,325x = 38,538 × 38,538
  4. Step 4: Simplify right side
    17,325x = 1,485,177,444
  5. Step 5: Solve for x
    x = 1,485,177,444/17,325
  6. Step 6: Final answer
    x = 85,724.53

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.