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Finding the Third Proportional to 8,578 and 20,645

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Solution

The third proportional to 8,578 and 20,645 is: 49,687.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578 : 20,645 = 20,645 : x
  2. Step 2: Convert to fraction form
    8,578/20,645 = 20,645/x
  3. Step 3: Cross multiply
    8,578x = 20,645 × 20,645
  4. Step 4: Simplify right side
    8,578x = 426,216,025
  5. Step 5: Solve for x
    x = 426,216,025/8,578
  6. Step 6: Final answer
    x = 49,687.11

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.