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Finding the Third Proportional to 33,424.31 and 50,143.64

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Solution

The third proportional to 33,424.31 and 50,143.64 is: 75,226.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,424.31 : 50,143.64 = 50,143.64 : x
  2. Step 2: Convert to fraction form
    33,424.31/50,143.64 = 50,143.64/x
  3. Step 3: Cross multiply
    33,424.31x = 50,143.64 × 50,143.64
  4. Step 4: Simplify right side
    33,424.31x = 2,514,384,695.13
  5. Step 5: Solve for x
    x = 2,514,384,695.13/33,424.31
  6. Step 6: Final answer
    x = 75,226.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.