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Finding the Third Proportional to 38,448.84 and 54,119.81

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Solution

The third proportional to 38,448.84 and 54,119.81 is: 76,177.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,448.84 : 54,119.81 = 54,119.81 : x
  2. Step 2: Convert to fraction form
    38,448.84/54,119.81 = 54,119.81/x
  3. Step 3: Cross multiply
    38,448.84x = 54,119.81 × 54,119.81
  4. Step 4: Simplify right side
    38,448.84x = 2,928,954,105.04
  5. Step 5: Solve for x
    x = 2,928,954,105.04/38,448.84
  6. Step 6: Final answer
    x = 76,177.95

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.