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Finding the Third Proportional to 33,509.79 and 73,123.54

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Solution

The third proportional to 33,509.79 and 73,123.54 is: 159,566.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,509.79 : 73,123.54 = 73,123.54 : x
  2. Step 2: Convert to fraction form
    33,509.79/73,123.54 = 73,123.54/x
  3. Step 3: Cross multiply
    33,509.79x = 73,123.54 × 73,123.54
  4. Step 4: Simplify right side
    33,509.79x = 5,347,052,250.66
  5. Step 5: Solve for x
    x = 5,347,052,250.66/33,509.79
  6. Step 6: Final answer
    x = 159,566.84

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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.