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Finding the Third Proportional to 33,690.94 and 73,358.16

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Solution

The third proportional to 33,690.94 and 73,358.16 is: 159,728.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,690.94 : 73,358.16 = 73,358.16 : x
  2. Step 2: Convert to fraction form
    33,690.94/73,358.16 = 73,358.16/x
  3. Step 3: Cross multiply
    33,690.94x = 73,358.16 × 73,358.16
  4. Step 4: Simplify right side
    33,690.94x = 5,381,419,088.40
  5. Step 5: Solve for x
    x = 5,381,419,088.40/33,690.94
  6. Step 6: Final answer
    x = 159,728.98

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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.