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Finding the Third Proportional to 36,330 and 80,908.50

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Solution

The third proportional to 36,330 and 80,908.50 is: 180,186.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,330 : 80,908.50 = 80,908.50 : x
  2. Step 2: Convert to fraction form
    36,330/80,908.50 = 80,908.50/x
  3. Step 3: Cross multiply
    36,330x = 80,908.50 × 80,908.50
  4. Step 4: Simplify right side
    36,330x = 6,546,185,372.25
  5. Step 5: Solve for x
    x = 6,546,185,372.25/36,330
  6. Step 6: Final answer
    x = 180,186.77

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.