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Finding the Third Proportional to 33,811 and 73,454

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Solution

The third proportional to 33,811 and 73,454 is: 159,577.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,811 : 73,454 = 73,454 : x
  2. Step 2: Convert to fraction form
    33,811/73,454 = 73,454/x
  3. Step 3: Cross multiply
    33,811x = 73,454 × 73,454
  4. Step 4: Simplify right side
    33,811x = 5,395,490,116
  5. Step 5: Solve for x
    x = 5,395,490,116/33,811
  6. Step 6: Final answer
    x = 159,577.95

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.