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Finding the Third Proportional to 38,004 and 57,234

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Solution

The third proportional to 38,004 and 57,234 is: 86,194.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,004 : 57,234 = 57,234 : x
  2. Step 2: Convert to fraction form
    38,004/57,234 = 57,234/x
  3. Step 3: Cross multiply
    38,004x = 57,234 × 57,234
  4. Step 4: Simplify right side
    38,004x = 3,275,730,756
  5. Step 5: Solve for x
    x = 3,275,730,756/38,004
  6. Step 6: Final answer
    x = 86,194.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.