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Finding the Third Proportional to 22,371.19 and 33,508.69

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Solution

The third proportional to 22,371.19 and 33,508.69 is: 50,190.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,371.19 : 33,508.69 = 33,508.69 : x
  2. Step 2: Convert to fraction form
    22,371.19/33,508.69 = 33,508.69/x
  3. Step 3: Cross multiply
    22,371.19x = 33,508.69 × 33,508.69
  4. Step 4: Simplify right side
    22,371.19x = 1,122,832,137.97
  5. Step 5: Solve for x
    x = 1,122,832,137.97/22,371.19
  6. Step 6: Final answer
    x = 50,190.99

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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.