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Finding the Third Proportional to 38,906 and 86,884

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Solution

The third proportional to 38,906 and 86,884 is: 194,027.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,906 : 86,884 = 86,884 : x
  2. Step 2: Convert to fraction form
    38,906/86,884 = 86,884/x
  3. Step 3: Cross multiply
    38,906x = 86,884 × 86,884
  4. Step 4: Simplify right side
    38,906x = 7,548,829,456
  5. Step 5: Solve for x
    x = 7,548,829,456/38,906
  6. Step 6: Final answer
    x = 194,027.39

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.