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Finding the Third Proportional to 33,557.63 and 73,144.13

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Solution

The third proportional to 33,557.63 and 73,144.13 is: 159,429.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,557.63 : 73,144.13 = 73,144.13 : x
  2. Step 2: Convert to fraction form
    33,557.63/73,144.13 = 73,144.13/x
  3. Step 3: Cross multiply
    33,557.63x = 73,144.13 × 73,144.13
  4. Step 4: Simplify right side
    33,557.63x = 5,350,063,022.02
  5. Step 5: Solve for x
    x = 5,350,063,022.02/33,557.63
  6. Step 6: Final answer
    x = 159,429.13

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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.