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Finding the Third Proportional to 33,436.50 and 73,434

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Solution

The third proportional to 33,436.50 and 73,434 is: 161,277.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,436.50 : 73,434 = 73,434 : x
  2. Step 2: Convert to fraction form
    33,436.50/73,434 = 73,434/x
  3. Step 3: Cross multiply
    33,436.50x = 73,434 × 73,434
  4. Step 4: Simplify right side
    33,436.50x = 5,392,552,356
  5. Step 5: Solve for x
    x = 5,392,552,356/33,436.50
  6. Step 6: Final answer
    x = 161,277.42

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.