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Finding the Third Proportional to 5,879.25 and 9,107.16

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Solution

The third proportional to 5,879.25 and 9,107.16 is: 14,107.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,879.25 : 9,107.16 = 9,107.16 : x
  2. Step 2: Convert to fraction form
    5,879.25/9,107.16 = 9,107.16/x
  3. Step 3: Cross multiply
    5,879.25x = 9,107.16 × 9,107.16
  4. Step 4: Simplify right side
    5,879.25x = 82,940,294.96
  5. Step 5: Solve for x
    x = 82,940,294.96/5,879.25
  6. Step 6: Final answer
    x = 14,107.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.