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Finding the Third Proportional to 18,578 and 41,885

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Solution

The third proportional to 18,578 and 41,885 is: 94,431.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,578 : 41,885 = 41,885 : x
  2. Step 2: Convert to fraction form
    18,578/41,885 = 41,885/x
  3. Step 3: Cross multiply
    18,578x = 41,885 × 41,885
  4. Step 4: Simplify right side
    18,578x = 1,754,353,225
  5. Step 5: Solve for x
    x = 1,754,353,225/18,578
  6. Step 6: Final answer
    x = 94,431.76

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.