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Finding the Third Proportional to 22,157.72 and 33,253.03

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Solution

The third proportional to 22,157.72 and 33,253.03 is: 49,904.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,157.72 : 33,253.03 = 33,253.03 : x
  2. Step 2: Convert to fraction form
    22,157.72/33,253.03 = 33,253.03/x
  3. Step 3: Cross multiply
    22,157.72x = 33,253.03 × 33,253.03
  4. Step 4: Simplify right side
    22,157.72x = 1,105,764,087.31
  5. Step 5: Solve for x
    x = 1,105,764,087.31/22,157.72
  6. Step 6: Final answer
    x = 49,904.24

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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.