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Finding the Third Proportional to 8,404 and 11,752

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Solution

The third proportional to 8,404 and 11,752 is: 16,433.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,404 : 11,752 = 11,752 : x
  2. Step 2: Convert to fraction form
    8,404/11,752 = 11,752/x
  3. Step 3: Cross multiply
    8,404x = 11,752 × 11,752
  4. Step 4: Simplify right side
    8,404x = 138,109,504
  5. Step 5: Solve for x
    x = 138,109,504/8,404
  6. Step 6: Final answer
    x = 16,433.78

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.