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Finding the Third Proportional to 31,805 and 62,809

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Solution

The third proportional to 31,805 and 62,809 is: 124,036.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,805 : 62,809 = 62,809 : x
  2. Step 2: Convert to fraction form
    31,805/62,809 = 62,809/x
  3. Step 3: Cross multiply
    31,805x = 62,809 × 62,809
  4. Step 4: Simplify right side
    31,805x = 3,944,970,481
  5. Step 5: Solve for x
    x = 3,944,970,481/31,805
  6. Step 6: Final answer
    x = 124,036.17

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.