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Finding the Third Proportional to 7,834.25 and 16,879.75

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Solution

The third proportional to 7,834.25 and 16,879.75 is: 36,369.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.25 : 16,879.75 = 16,879.75 : x
  2. Step 2: Convert to fraction form
    7,834.25/16,879.75 = 16,879.75/x
  3. Step 3: Cross multiply
    7,834.25x = 16,879.75 × 16,879.75
  4. Step 4: Simplify right side
    7,834.25x = 284,925,960.06
  5. Step 5: Solve for x
    x = 284,925,960.06/7,834.25
  6. Step 6: Final answer
    x = 36,369.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.