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Finding the Third Proportional to 4,183.31 and 9,026.44

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Solution

The third proportional to 4,183.31 and 9,026.44 is: 19,476.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,183.31 : 9,026.44 = 9,026.44 : x
  2. Step 2: Convert to fraction form
    4,183.31/9,026.44 = 9,026.44/x
  3. Step 3: Cross multiply
    4,183.31x = 9,026.44 × 9,026.44
  4. Step 4: Simplify right side
    4,183.31x = 81,476,573.94
  5. Step 5: Solve for x
    x = 81,476,573.94/4,183.31
  6. Step 6: Final answer
    x = 19,476.57

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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.