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Finding the Third Proportional to 22,057.31 and 33,546.66

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Solution

The third proportional to 22,057.31 and 33,546.66 is: 51,020.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,057.31 : 33,546.66 = 33,546.66 : x
  2. Step 2: Convert to fraction form
    22,057.31/33,546.66 = 33,546.66/x
  3. Step 3: Cross multiply
    22,057.31x = 33,546.66 × 33,546.66
  4. Step 4: Simplify right side
    22,057.31x = 1,125,378,145.56
  5. Step 5: Solve for x
    x = 1,125,378,145.56/22,057.31
  6. Step 6: Final answer
    x = 51,020.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.