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Finding the Third Proportional to 18,876 and 41,032

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Solution

The third proportional to 18,876 and 41,032 is: 89,193.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,876 : 41,032 = 41,032 : x
  2. Step 2: Convert to fraction form
    18,876/41,032 = 41,032/x
  3. Step 3: Cross multiply
    18,876x = 41,032 × 41,032
  4. Step 4: Simplify right side
    18,876x = 1,683,625,024
  5. Step 5: Solve for x
    x = 1,683,625,024/18,876
  6. Step 6: Final answer
    x = 89,193.95

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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.