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Finding the Third Proportional to 36,978.75 and 80,952.75

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Solution

The third proportional to 36,978.75 and 80,952.75 is: 177,219.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,978.75 : 80,952.75 = 80,952.75 : x
  2. Step 2: Convert to fraction form
    36,978.75/80,952.75 = 80,952.75/x
  3. Step 3: Cross multiply
    36,978.75x = 80,952.75 × 80,952.75
  4. Step 4: Simplify right side
    36,978.75x = 6,553,347,732.56
  5. Step 5: Solve for x
    x = 6,553,347,732.56/36,978.75
  6. Step 6: Final answer
    x = 177,219.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.