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Finding the Third Proportional to 8,584.73 and 18,107.30

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Solution

The third proportional to 8,584.73 and 18,107.30 is: 38,192.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.73 : 18,107.30 = 18,107.30 : x
  2. Step 2: Convert to fraction form
    8,584.73/18,107.30 = 18,107.30/x
  3. Step 3: Cross multiply
    8,584.73x = 18,107.30 × 18,107.30
  4. Step 4: Simplify right side
    8,584.73x = 327,874,200.12
  5. Step 5: Solve for x
    x = 327,874,200.12/8,584.73
  6. Step 6: Final answer
    x = 38,192.70

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.