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Finding the Third Proportional to 33,078.38 and 72,626.63

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Solution

The third proportional to 33,078.38 and 72,626.63 is: 159,458.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,078.38 : 72,626.63 = 72,626.63 : x
  2. Step 2: Convert to fraction form
    33,078.38/72,626.63 = 72,626.63/x
  3. Step 3: Cross multiply
    33,078.38x = 72,626.63 × 72,626.63
  4. Step 4: Simplify right side
    33,078.38x = 5,274,626,658.89
  5. Step 5: Solve for x
    x = 5,274,626,658.89/33,078.38
  6. Step 6: Final answer
    x = 159,458.46

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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.