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Finding the Third Proportional to 8,696 and 20,524

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Solution

The third proportional to 8,696 and 20,524 is: 48,440.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,696 : 20,524 = 20,524 : x
  2. Step 2: Convert to fraction form
    8,696/20,524 = 20,524/x
  3. Step 3: Cross multiply
    8,696x = 20,524 × 20,524
  4. Step 4: Simplify right side
    8,696x = 421,234,576
  5. Step 5: Solve for x
    x = 421,234,576/8,696
  6. Step 6: Final answer
    x = 48,440.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.