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Finding the Third Proportional to 6,584.20 and 14,284.69

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Solution

The third proportional to 6,584.20 and 14,284.69 is: 30,991.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.20 : 14,284.69 = 14,284.69 : x
  2. Step 2: Convert to fraction form
    6,584.20/14,284.69 = 14,284.69/x
  3. Step 3: Cross multiply
    6,584.20x = 14,284.69 × 14,284.69
  4. Step 4: Simplify right side
    6,584.20x = 204,052,296.97
  5. Step 5: Solve for x
    x = 204,052,296.97/6,584.20
  6. Step 6: Final answer
    x = 30,991.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.