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Finding the Third Proportional to 38,425 and 83,843

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Solution

The third proportional to 38,425 and 83,843 is: 182,944.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,425 : 83,843 = 83,843 : x
  2. Step 2: Convert to fraction form
    38,425/83,843 = 83,843/x
  3. Step 3: Cross multiply
    38,425x = 83,843 × 83,843
  4. Step 4: Simplify right side
    38,425x = 7,029,648,649
  5. Step 5: Solve for x
    x = 7,029,648,649/38,425
  6. Step 6: Final answer
    x = 182,944.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.