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Finding the Third Proportional to 27,384 and 38,144

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Solution

The third proportional to 27,384 and 38,144 is: 53,131.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,384 : 38,144 = 38,144 : x
  2. Step 2: Convert to fraction form
    27,384/38,144 = 38,144/x
  3. Step 3: Cross multiply
    27,384x = 38,144 × 38,144
  4. Step 4: Simplify right side
    27,384x = 1,454,964,736
  5. Step 5: Solve for x
    x = 1,454,964,736/27,384
  6. Step 6: Final answer
    x = 53,131.93

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.