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Finding the Third Proportional to 39,077.75 and 80,835.25

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Solution

The third proportional to 39,077.75 and 80,835.25 is: 167,213.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,077.75 : 80,835.25 = 80,835.25 : x
  2. Step 2: Convert to fraction form
    39,077.75/80,835.25 = 80,835.25/x
  3. Step 3: Cross multiply
    39,077.75x = 80,835.25 × 80,835.25
  4. Step 4: Simplify right side
    39,077.75x = 6,534,337,642.56
  5. Step 5: Solve for x
    x = 6,534,337,642.56/39,077.75
  6. Step 6: Final answer
    x = 167,213.76

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.