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Finding the Third Proportional to 33,706.13 and 73,359

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Solution

The third proportional to 33,706.13 and 73,359 is: 159,660.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,706.13 : 73,359 = 73,359 : x
  2. Step 2: Convert to fraction form
    33,706.13/73,359 = 73,359/x
  3. Step 3: Cross multiply
    33,706.13x = 73,359 × 73,359
  4. Step 4: Simplify right side
    33,706.13x = 5,381,542,881
  5. Step 5: Solve for x
    x = 5,381,542,881/33,706.13
  6. Step 6: Final answer
    x = 159,660.68

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