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Finding the Third Proportional to 11,902 and 28,144

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Solution

The third proportional to 11,902 and 28,144 is: 66,550.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902 : 28,144 = 28,144 : x
  2. Step 2: Convert to fraction form
    11,902/28,144 = 28,144/x
  3. Step 3: Cross multiply
    11,902x = 28,144 × 28,144
  4. Step 4: Simplify right side
    11,902x = 792,084,736
  5. Step 5: Solve for x
    x = 792,084,736/11,902
  6. Step 6: Final answer
    x = 66,550.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.