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Finding the Third Proportional to 8,133.75 and 16,879.50

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Solution

The third proportional to 8,133.75 and 16,879.50 is: 35,029.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,133.75 : 16,879.50 = 16,879.50 : x
  2. Step 2: Convert to fraction form
    8,133.75/16,879.50 = 16,879.50/x
  3. Step 3: Cross multiply
    8,133.75x = 16,879.50 × 16,879.50
  4. Step 4: Simplify right side
    8,133.75x = 284,917,520.25
  5. Step 5: Solve for x
    x = 284,917,520.25/8,133.75
  6. Step 6: Final answer
    x = 35,029.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.