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Finding the Third Proportional to 33,112.55 and 73,315.76

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Solution

The third proportional to 33,112.55 and 73,315.76 is: 162,331.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,112.55 : 73,315.76 = 73,315.76 : x
  2. Step 2: Convert to fraction form
    33,112.55/73,315.76 = 73,315.76/x
  3. Step 3: Cross multiply
    33,112.55x = 73,315.76 × 73,315.76
  4. Step 4: Simplify right side
    33,112.55x = 5,375,200,343.62
  5. Step 5: Solve for x
    x = 5,375,200,343.62/33,112.55
  6. Step 6: Final answer
    x = 162,331.23

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.