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Finding the Third Proportional to 31,794 and 62,787.75

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Solution

The third proportional to 31,794 and 62,787.75 is: 123,995.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,794 : 62,787.75 = 62,787.75 : x
  2. Step 2: Convert to fraction form
    31,794/62,787.75 = 62,787.75/x
  3. Step 3: Cross multiply
    31,794x = 62,787.75 × 62,787.75
  4. Step 4: Simplify right side
    31,794x = 3,942,301,550.06
  5. Step 5: Solve for x
    x = 3,942,301,550.06/31,794
  6. Step 6: Final answer
    x = 123,995.14

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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.