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Finding the Third Proportional to 38,234 and 57,999

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Solution

The third proportional to 38,234 and 57,999 is: 87,981.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,234 : 57,999 = 57,999 : x
  2. Step 2: Convert to fraction form
    38,234/57,999 = 57,999/x
  3. Step 3: Cross multiply
    38,234x = 57,999 × 57,999
  4. Step 4: Simplify right side
    38,234x = 3,363,884,001
  5. Step 5: Solve for x
    x = 3,363,884,001/38,234
  6. Step 6: Final answer
    x = 87,981.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.