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Finding the Third Proportional to 38,902 and 84,845

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Solution

The third proportional to 38,902 and 84,845 is: 185,046.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,902 : 84,845 = 84,845 : x
  2. Step 2: Convert to fraction form
    38,902/84,845 = 84,845/x
  3. Step 3: Cross multiply
    38,902x = 84,845 × 84,845
  4. Step 4: Simplify right side
    38,902x = 7,198,674,025
  5. Step 5: Solve for x
    x = 7,198,674,025/38,902
  6. Step 6: Final answer
    x = 185,046.37

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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.