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Finding the Third Proportional to 38,000.75 and 57,021.25

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Solution

The third proportional to 38,000.75 and 57,021.25 is: 85,562.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,000.75 : 57,021.25 = 57,021.25 : x
  2. Step 2: Convert to fraction form
    38,000.75/57,021.25 = 57,021.25/x
  3. Step 3: Cross multiply
    38,000.75x = 57,021.25 × 57,021.25
  4. Step 4: Simplify right side
    38,000.75x = 3,251,422,951.56
  5. Step 5: Solve for x
    x = 3,251,422,951.56/38,000.75
  6. Step 6: Final answer
    x = 85,562.07

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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.