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Finding the Third Proportional to 33,450.47 and 73,461.94

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Solution

The third proportional to 33,450.47 and 73,461.94 is: 161,332.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,450.47 : 73,461.94 = 73,461.94 : x
  2. Step 2: Convert to fraction form
    33,450.47/73,461.94 = 73,461.94/x
  3. Step 3: Cross multiply
    33,450.47x = 73,461.94 × 73,461.94
  4. Step 4: Simplify right side
    33,450.47x = 5,396,656,261.25
  5. Step 5: Solve for x
    x = 5,396,656,261.25/33,450.47
  6. Step 6: Final answer
    x = 161,332.75

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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.