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Finding the Third Proportional to 22,072.50 and 33,199.88

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Solution

The third proportional to 22,072.50 and 33,199.88 is: 49,936.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,072.50 : 33,199.88 = 33,199.88 : x
  2. Step 2: Convert to fraction form
    22,072.50/33,199.88 = 33,199.88/x
  3. Step 3: Cross multiply
    22,072.50x = 33,199.88 × 33,199.88
  4. Step 4: Simplify right side
    22,072.50x = 1,102,231,700.02
  5. Step 5: Solve for x
    x = 1,102,231,700.02/22,072.50
  6. Step 6: Final answer
    x = 49,936.88

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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.