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Finding the Third Proportional to 8,586 and 15,384

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Solution

The third proportional to 8,586 and 15,384 is: 27,564.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,586 : 15,384 = 15,384 : x
  2. Step 2: Convert to fraction form
    8,586/15,384 = 15,384/x
  3. Step 3: Cross multiply
    8,586x = 15,384 × 15,384
  4. Step 4: Simplify right side
    8,586x = 236,667,456
  5. Step 5: Solve for x
    x = 236,667,456/8,586
  6. Step 6: Final answer
    x = 27,564.34

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.