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Finding the Third Proportional to 38,342 and 81,652

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Solution

The third proportional to 38,342 and 81,652 is: 173,883.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,342 : 81,652 = 81,652 : x
  2. Step 2: Convert to fraction form
    38,342/81,652 = 81,652/x
  3. Step 3: Cross multiply
    38,342x = 81,652 × 81,652
  4. Step 4: Simplify right side
    38,342x = 6,667,049,104
  5. Step 5: Solve for x
    x = 6,667,049,104/38,342
  6. Step 6: Final answer
    x = 173,883.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.