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Finding the Third Proportional to 22,164.09 and 33,167.91

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Solution

The third proportional to 22,164.09 and 33,167.91 is: 49,634.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,164.09 : 33,167.91 = 33,167.91 : x
  2. Step 2: Convert to fraction form
    22,164.09/33,167.91 = 33,167.91/x
  3. Step 3: Cross multiply
    22,164.09x = 33,167.91 × 33,167.91
  4. Step 4: Simplify right side
    22,164.09x = 1,100,110,005.01
  5. Step 5: Solve for x
    x = 1,100,110,005.01/22,164.09
  6. Step 6: Final answer
    x = 49,634.78

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