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Finding the Third Proportional to 33,000.25 and 43,758.75

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Solution

The third proportional to 33,000.25 and 43,758.75 is: 58,024.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,000.25 : 43,758.75 = 43,758.75 : x
  2. Step 2: Convert to fraction form
    33,000.25/43,758.75 = 43,758.75/x
  3. Step 3: Cross multiply
    33,000.25x = 43,758.75 × 43,758.75
  4. Step 4: Simplify right side
    33,000.25x = 1,914,828,201.56
  5. Step 5: Solve for x
    x = 1,914,828,201.56/33,000.25
  6. Step 6: Final answer
    x = 58,024.66

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.