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Finding the Third Proportional to 38,022 and 57,150

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Solution

The third proportional to 38,022 and 57,150 is: 85,900.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,022 : 57,150 = 57,150 : x
  2. Step 2: Convert to fraction form
    38,022/57,150 = 57,150/x
  3. Step 3: Cross multiply
    38,022x = 57,150 × 57,150
  4. Step 4: Simplify right side
    38,022x = 3,266,122,500
  5. Step 5: Solve for x
    x = 3,266,122,500/38,022
  6. Step 6: Final answer
    x = 85,900.86

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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.