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Finding the Third Proportional to 4,286.25 and 5,855.63

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Solution

The third proportional to 4,286.25 and 5,855.63 is: 7,999.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286.25 : 5,855.63 = 5,855.63 : x
  2. Step 2: Convert to fraction form
    4,286.25/5,855.63 = 5,855.63/x
  3. Step 3: Cross multiply
    4,286.25x = 5,855.63 × 5,855.63
  4. Step 4: Simplify right side
    4,286.25x = 34,288,344.14
  5. Step 5: Solve for x
    x = 34,288,344.14/4,286.25
  6. Step 6: Final answer
    x = 7,999.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.