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Finding the Third Proportional to 18,992 and 41,224

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Solution

The third proportional to 18,992 and 41,224 is: 89,480.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,992 : 41,224 = 41,224 : x
  2. Step 2: Convert to fraction form
    18,992/41,224 = 41,224/x
  3. Step 3: Cross multiply
    18,992x = 41,224 × 41,224
  4. Step 4: Simplify right side
    18,992x = 1,699,418,176
  5. Step 5: Solve for x
    x = 1,699,418,176/18,992
  6. Step 6: Final answer
    x = 89,480.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.