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Finding the Third Proportional to 38,849 and 58,251

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Solution

The third proportional to 38,849 and 58,251 is: 87,342.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,849 : 58,251 = 58,251 : x
  2. Step 2: Convert to fraction form
    38,849/58,251 = 58,251/x
  3. Step 3: Cross multiply
    38,849x = 58,251 × 58,251
  4. Step 4: Simplify right side
    38,849x = 3,393,179,001
  5. Step 5: Solve for x
    x = 3,393,179,001/38,849
  6. Step 6: Final answer
    x = 87,342.76

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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.