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Finding the Third Proportional to 33,617.81 and 73,149.75

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Solution

The third proportional to 33,617.81 and 73,149.75 is: 159,168.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,617.81 : 73,149.75 = 73,149.75 : x
  2. Step 2: Convert to fraction form
    33,617.81/73,149.75 = 73,149.75/x
  3. Step 3: Cross multiply
    33,617.81x = 73,149.75 × 73,149.75
  4. Step 4: Simplify right side
    33,617.81x = 5,350,885,925.06
  5. Step 5: Solve for x
    x = 5,350,885,925.06/33,617.81
  6. Step 6: Final answer
    x = 159,168.18

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Why These Related Problems?

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