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Finding the Third Proportional to 8,006 and 11,463

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Solution

The third proportional to 8,006 and 11,463 is: 16,412.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006 : 11,463 = 11,463 : x
  2. Step 2: Convert to fraction form
    8,006/11,463 = 11,463/x
  3. Step 3: Cross multiply
    8,006x = 11,463 × 11,463
  4. Step 4: Simplify right side
    8,006x = 131,400,369
  5. Step 5: Solve for x
    x = 131,400,369/8,006
  6. Step 6: Final answer
    x = 16,412.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.