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Finding the Third Proportional to 33,712.50 and 73,653

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Solution

The third proportional to 33,712.50 and 73,653 is: 160,912.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,712.50 : 73,653 = 73,653 : x
  2. Step 2: Convert to fraction form
    33,712.50/73,653 = 73,653/x
  3. Step 3: Cross multiply
    33,712.50x = 73,653 × 73,653
  4. Step 4: Simplify right side
    33,712.50x = 5,424,764,409
  5. Step 5: Solve for x
    x = 5,424,764,409/33,712.50
  6. Step 6: Final answer
    x = 160,912.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.