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Finding the Third Proportional to 33,890.06 and 73,812.94

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Solution

The third proportional to 33,890.06 and 73,812.94 is: 160,765.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,890.06 : 73,812.94 = 73,812.94 : x
  2. Step 2: Convert to fraction form
    33,890.06/73,812.94 = 73,812.94/x
  3. Step 3: Cross multiply
    33,890.06x = 73,812.94 × 73,812.94
  4. Step 4: Simplify right side
    33,890.06x = 5,448,349,742.38
  5. Step 5: Solve for x
    x = 5,448,349,742.38/33,890.06
  6. Step 6: Final answer
    x = 160,765.41

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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.