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Finding the Third Proportional to 22,431.94 and 33,647.91

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Solution

The third proportional to 22,431.94 and 33,647.91 is: 50,471.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,431.94 : 33,647.91 = 33,647.91 : x
  2. Step 2: Convert to fraction form
    22,431.94/33,647.91 = 33,647.91/x
  3. Step 3: Cross multiply
    22,431.94x = 33,647.91 × 33,647.91
  4. Step 4: Simplify right side
    22,431.94x = 1,132,181,595.01
  5. Step 5: Solve for x
    x = 1,132,181,595.01/22,431.94
  6. Step 6: Final answer
    x = 50,471.86

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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.