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Finding the Third Proportional to 33,217.50 and 70,741.50

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Solution

The third proportional to 33,217.50 and 70,741.50 is: 150,654.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,217.50 : 70,741.50 = 70,741.50 : x
  2. Step 2: Convert to fraction form
    33,217.50/70,741.50 = 70,741.50/x
  3. Step 3: Cross multiply
    33,217.50x = 70,741.50 × 70,741.50
  4. Step 4: Simplify right side
    33,217.50x = 5,004,359,822.25
  5. Step 5: Solve for x
    x = 5,004,359,822.25/33,217.50
  6. Step 6: Final answer
    x = 150,654.32

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.