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Finding the Third Proportional to 8,623.25 and 18,861

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Solution

The third proportional to 8,623.25 and 18,861 is: 41,253.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,623.25 : 18,861 = 18,861 : x
  2. Step 2: Convert to fraction form
    8,623.25/18,861 = 18,861/x
  3. Step 3: Cross multiply
    8,623.25x = 18,861 × 18,861
  4. Step 4: Simplify right side
    8,623.25x = 355,737,321
  5. Step 5: Solve for x
    x = 355,737,321/8,623.25
  6. Step 6: Final answer
    x = 41,253.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.