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Finding the Third Proportional to 4,811.27 and 6,879.94

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Solution

The third proportional to 4,811.27 and 6,879.94 is: 9,838.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,811.27 : 6,879.94 = 6,879.94 : x
  2. Step 2: Convert to fraction form
    4,811.27/6,879.94 = 6,879.94/x
  3. Step 3: Cross multiply
    4,811.27x = 6,879.94 × 6,879.94
  4. Step 4: Simplify right side
    4,811.27x = 47,333,540.00
  5. Step 5: Solve for x
    x = 47,333,540.00/4,811.27
  6. Step 6: Final answer
    x = 9,838.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.