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Finding the Third Proportional to 8,586 and 19,116

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Solution

The third proportional to 8,586 and 19,116 is: 42,560.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,586 : 19,116 = 19,116 : x
  2. Step 2: Convert to fraction form
    8,586/19,116 = 19,116/x
  3. Step 3: Cross multiply
    8,586x = 19,116 × 19,116
  4. Step 4: Simplify right side
    8,586x = 365,421,456
  5. Step 5: Solve for x
    x = 365,421,456/8,586
  6. Step 6: Final answer
    x = 42,560.15

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.