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Finding the Third Proportional to 31,387 and 68,994

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Solution

The third proportional to 31,387 and 68,994 is: 151,660.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,387 : 68,994 = 68,994 : x
  2. Step 2: Convert to fraction form
    31,387/68,994 = 68,994/x
  3. Step 3: Cross multiply
    31,387x = 68,994 × 68,994
  4. Step 4: Simplify right side
    31,387x = 4,760,172,036
  5. Step 5: Solve for x
    x = 4,760,172,036/31,387
  6. Step 6: Final answer
    x = 151,660.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.