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Finding the Third Proportional to 4,634.44 and 9,997.97

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Solution

The third proportional to 4,634.44 and 9,997.97 is: 21,568.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,634.44 : 9,997.97 = 9,997.97 : x
  2. Step 2: Convert to fraction form
    4,634.44/9,997.97 = 9,997.97/x
  3. Step 3: Cross multiply
    4,634.44x = 9,997.97 × 9,997.97
  4. Step 4: Simplify right side
    4,634.44x = 99,959,379.13
  5. Step 5: Solve for x
    x = 99,959,379.13/4,634.44
  6. Step 6: Final answer
    x = 21,568.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.