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Finding the Third Proportional to 33,724.69 and 50,673.94

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Solution

The third proportional to 33,724.69 and 50,673.94 is: 76,141.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,724.69 : 50,673.94 = 50,673.94 : x
  2. Step 2: Convert to fraction form
    33,724.69/50,673.94 = 50,673.94/x
  3. Step 3: Cross multiply
    33,724.69x = 50,673.94 × 50,673.94
  4. Step 4: Simplify right side
    33,724.69x = 2,567,847,941.75
  5. Step 5: Solve for x
    x = 2,567,847,941.75/33,724.69
  6. Step 6: Final answer
    x = 76,141.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.