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Finding the Third Proportional to 8,586 and 18,464.63

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Solution

The third proportional to 8,586 and 18,464.63 is: 39,709.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,586 : 18,464.63 = 18,464.63 : x
  2. Step 2: Convert to fraction form
    8,586/18,464.63 = 18,464.63/x
  3. Step 3: Cross multiply
    8,586x = 18,464.63 × 18,464.63
  4. Step 4: Simplify right side
    8,586x = 340,942,376.39
  5. Step 5: Solve for x
    x = 340,942,376.39/8,586
  6. Step 6: Final answer
    x = 39,709.11

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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.