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Finding the Third Proportional to 33,072.75 and 72,730.13

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Solution

The third proportional to 33,072.75 and 72,730.13 is: 159,940.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,072.75 : 72,730.13 = 72,730.13 : x
  2. Step 2: Convert to fraction form
    33,072.75/72,730.13 = 72,730.13/x
  3. Step 3: Cross multiply
    33,072.75x = 72,730.13 × 72,730.13
  4. Step 4: Simplify right side
    33,072.75x = 5,289,671,082.52
  5. Step 5: Solve for x
    x = 5,289,671,082.52/33,072.75
  6. Step 6: Final answer
    x = 159,940.47

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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.