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Finding the Third Proportional to 33,237.84 and 71,147.81

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Solution

The third proportional to 33,237.84 and 71,147.81 is: 152,296.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,237.84 : 71,147.81 = 71,147.81 : x
  2. Step 2: Convert to fraction form
    33,237.84/71,147.81 = 71,147.81/x
  3. Step 3: Cross multiply
    33,237.84x = 71,147.81 × 71,147.81
  4. Step 4: Simplify right side
    33,237.84x = 5,062,011,223.54
  5. Step 5: Solve for x
    x = 5,062,011,223.54/33,237.84
  6. Step 6: Final answer
    x = 152,296.62

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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.