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Finding the Third Proportional to 33,285.38 and 45,474.75

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Solution

The third proportional to 33,285.38 and 45,474.75 is: 62,127.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,285.38 : 45,474.75 = 45,474.75 : x
  2. Step 2: Convert to fraction form
    33,285.38/45,474.75 = 45,474.75/x
  3. Step 3: Cross multiply
    33,285.38x = 45,474.75 × 45,474.75
  4. Step 4: Simplify right side
    33,285.38x = 2,067,952,887.56
  5. Step 5: Solve for x
    x = 2,067,952,887.56/33,285.38
  6. Step 6: Final answer
    x = 62,127.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.