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Finding the Third Proportional to 18,892 and 41,240

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Solution

The third proportional to 18,892 and 41,240 is: 90,024.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,892 : 41,240 = 41,240 : x
  2. Step 2: Convert to fraction form
    18,892/41,240 = 41,240/x
  3. Step 3: Cross multiply
    18,892x = 41,240 × 41,240
  4. Step 4: Simplify right side
    18,892x = 1,700,737,600
  5. Step 5: Solve for x
    x = 1,700,737,600/18,892
  6. Step 6: Final answer
    x = 90,024.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.