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Finding the Third Proportional to 33,760.69 and 73,595.81

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Solution

The third proportional to 33,760.69 and 73,595.81 is: 160,433.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,760.69 : 73,595.81 = 73,595.81 : x
  2. Step 2: Convert to fraction form
    33,760.69/73,595.81 = 73,595.81/x
  3. Step 3: Cross multiply
    33,760.69x = 73,595.81 × 73,595.81
  4. Step 4: Simplify right side
    33,760.69x = 5,416,343,617.54
  5. Step 5: Solve for x
    x = 5,416,343,617.54/33,760.69
  6. Step 6: Final answer
    x = 160,433.45

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.