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Finding the Third Proportional to 5,930.91 and 8,879.91

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Solution

The third proportional to 5,930.91 and 8,879.91 is: 13,295.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.91 : 8,879.91 = 8,879.91 : x
  2. Step 2: Convert to fraction form
    5,930.91/8,879.91 = 8,879.91/x
  3. Step 3: Cross multiply
    5,930.91x = 8,879.91 × 8,879.91
  4. Step 4: Simplify right side
    5,930.91x = 78,852,735.01
  5. Step 5: Solve for x
    x = 78,852,735.01/5,930.91
  6. Step 6: Final answer
    x = 13,295.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.