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Finding the Third Proportional to 33,751.69 and 72,408.94

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Solution

The third proportional to 33,751.69 and 72,408.94 is: 155,341.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,751.69 : 72,408.94 = 72,408.94 : x
  2. Step 2: Convert to fraction form
    33,751.69/72,408.94 = 72,408.94/x
  3. Step 3: Cross multiply
    33,751.69x = 72,408.94 × 72,408.94
  4. Step 4: Simplify right side
    33,751.69x = 5,243,054,229.88
  5. Step 5: Solve for x
    x = 5,243,054,229.88/33,751.69
  6. Step 6: Final answer
    x = 155,341.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.