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Finding the Third Proportional to 33,933.50 and 71,697

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Solution

The third proportional to 33,933.50 and 71,697 is: 151,486.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,933.50 : 71,697 = 71,697 : x
  2. Step 2: Convert to fraction form
    33,933.50/71,697 = 71,697/x
  3. Step 3: Cross multiply
    33,933.50x = 71,697 × 71,697
  4. Step 4: Simplify right side
    33,933.50x = 5,140,459,809
  5. Step 5: Solve for x
    x = 5,140,459,809/33,933.50
  6. Step 6: Final answer
    x = 151,486.28

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.