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Finding the Third Proportional to 18,635 and 43,949

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Solution

The third proportional to 18,635 and 43,949 is: 103,649.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,635 : 43,949 = 43,949 : x
  2. Step 2: Convert to fraction form
    18,635/43,949 = 43,949/x
  3. Step 3: Cross multiply
    18,635x = 43,949 × 43,949
  4. Step 4: Simplify right side
    18,635x = 1,931,514,601
  5. Step 5: Solve for x
    x = 1,931,514,601/18,635
  6. Step 6: Final answer
    x = 103,649.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.