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Finding the Third Proportional to 38,252 and 82,859

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Solution

The third proportional to 38,252 and 82,859 is: 179,483.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,252 : 82,859 = 82,859 : x
  2. Step 2: Convert to fraction form
    38,252/82,859 = 82,859/x
  3. Step 3: Cross multiply
    38,252x = 82,859 × 82,859
  4. Step 4: Simplify right side
    38,252x = 6,865,613,881
  5. Step 5: Solve for x
    x = 6,865,613,881/38,252
  6. Step 6: Final answer
    x = 179,483.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.