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Finding the Third Proportional to 8,001 and 12,523

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Solution

The third proportional to 8,001 and 12,523 is: 19,600.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001 : 12,523 = 12,523 : x
  2. Step 2: Convert to fraction form
    8,001/12,523 = 12,523/x
  3. Step 3: Cross multiply
    8,001x = 12,523 × 12,523
  4. Step 4: Simplify right side
    8,001x = 156,825,529
  5. Step 5: Solve for x
    x = 156,825,529/8,001
  6. Step 6: Final answer
    x = 19,600.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.