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Finding the Third Proportional to 33,299.25 and 71,337.38

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Solution

The third proportional to 33,299.25 and 71,337.38 is: 152,826.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,299.25 : 71,337.38 = 71,337.38 : x
  2. Step 2: Convert to fraction form
    33,299.25/71,337.38 = 71,337.38/x
  3. Step 3: Cross multiply
    33,299.25x = 71,337.38 × 71,337.38
  4. Step 4: Simplify right side
    33,299.25x = 5,089,021,071.89
  5. Step 5: Solve for x
    x = 5,089,021,071.89/33,299.25
  6. Step 6: Final answer
    x = 152,826.90

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.