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Finding the Third Proportional to 33,429.94 and 73,420.31

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Solution

The third proportional to 33,429.94 and 73,420.31 is: 161,248.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,429.94 : 73,420.31 = 73,420.31 : x
  2. Step 2: Convert to fraction form
    33,429.94/73,420.31 = 73,420.31/x
  3. Step 3: Cross multiply
    33,429.94x = 73,420.31 × 73,420.31
  4. Step 4: Simplify right side
    33,429.94x = 5,390,542,287.60
  5. Step 5: Solve for x
    x = 5,390,542,287.60/33,429.94
  6. Step 6: Final answer
    x = 161,248.95

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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.