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Finding the Third Proportional to 30,198 and 43,496

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Solution

The third proportional to 30,198 and 43,496 is: 62,649.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,198 : 43,496 = 43,496 : x
  2. Step 2: Convert to fraction form
    30,198/43,496 = 43,496/x
  3. Step 3: Cross multiply
    30,198x = 43,496 × 43,496
  4. Step 4: Simplify right side
    30,198x = 1,891,902,016
  5. Step 5: Solve for x
    x = 1,891,902,016/30,198
  6. Step 6: Final answer
    x = 62,649.91

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.