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Finding the Third Proportional to 27,448 and 38,864

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Solution

The third proportional to 27,448 and 38,864 is: 55,028.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,448 : 38,864 = 38,864 : x
  2. Step 2: Convert to fraction form
    27,448/38,864 = 38,864/x
  3. Step 3: Cross multiply
    27,448x = 38,864 × 38,864
  4. Step 4: Simplify right side
    27,448x = 1,510,410,496
  5. Step 5: Solve for x
    x = 1,510,410,496/27,448
  6. Step 6: Final answer
    x = 55,028.07

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.