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Finding the Third Proportional to 33,769 and 73,545

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Solution

The third proportional to 33,769 and 73,545 is: 160,172.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,769 : 73,545 = 73,545 : x
  2. Step 2: Convert to fraction form
    33,769/73,545 = 73,545/x
  3. Step 3: Cross multiply
    33,769x = 73,545 × 73,545
  4. Step 4: Simplify right side
    33,769x = 5,408,867,025
  5. Step 5: Solve for x
    x = 5,408,867,025/33,769
  6. Step 6: Final answer
    x = 160,172.56

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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.