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Finding the Third Proportional to 8,584.73 and 18,464.20

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Solution

The third proportional to 8,584.73 and 18,464.20 is: 39,713.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.73 : 18,464.20 = 18,464.20 : x
  2. Step 2: Convert to fraction form
    8,584.73/18,464.20 = 18,464.20/x
  3. Step 3: Cross multiply
    8,584.73x = 18,464.20 × 18,464.20
  4. Step 4: Simplify right side
    8,584.73x = 340,926,797.04
  5. Step 5: Solve for x
    x = 340,926,797.04/8,584.73
  6. Step 6: Final answer
    x = 39,713.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.