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Finding the Third Proportional to 33,004.02 and 71,269.56

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Solution

The third proportional to 33,004.02 and 71,269.56 is: 153,900.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,004.02 : 71,269.56 = 71,269.56 : x
  2. Step 2: Convert to fraction form
    33,004.02/71,269.56 = 71,269.56/x
  3. Step 3: Cross multiply
    33,004.02x = 71,269.56 × 71,269.56
  4. Step 4: Simplify right side
    33,004.02x = 5,079,349,982.15
  5. Step 5: Solve for x
    x = 5,079,349,982.15/33,004.02
  6. Step 6: Final answer
    x = 153,900.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.