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Finding the Third Proportional to 32,879.25 and 51,522.75

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Solution

The third proportional to 32,879.25 and 51,522.75 is: 80,737.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,879.25 : 51,522.75 = 51,522.75 : x
  2. Step 2: Convert to fraction form
    32,879.25/51,522.75 = 51,522.75/x
  3. Step 3: Cross multiply
    32,879.25x = 51,522.75 × 51,522.75
  4. Step 4: Simplify right side
    32,879.25x = 2,654,593,767.56
  5. Step 5: Solve for x
    x = 2,654,593,767.56/32,879.25
  6. Step 6: Final answer
    x = 80,737.66

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.