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Finding the Third Proportional to 18,938 and 41,644

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Solution

The third proportional to 18,938 and 41,644 is: 91,573.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,938 : 41,644 = 41,644 : x
  2. Step 2: Convert to fraction form
    18,938/41,644 = 41,644/x
  3. Step 3: Cross multiply
    18,938x = 41,644 × 41,644
  4. Step 4: Simplify right side
    18,938x = 1,734,222,736
  5. Step 5: Solve for x
    x = 1,734,222,736/18,938
  6. Step 6: Final answer
    x = 91,573.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.