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Finding the Third Proportional to 11,366 and 16,041

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Solution

The third proportional to 11,366 and 16,041 is: 22,638.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,366 : 16,041 = 16,041 : x
  2. Step 2: Convert to fraction form
    11,366/16,041 = 16,041/x
  3. Step 3: Cross multiply
    11,366x = 16,041 × 16,041
  4. Step 4: Simplify right side
    11,366x = 257,313,681
  5. Step 5: Solve for x
    x = 257,313,681/11,366
  6. Step 6: Final answer
    x = 22,638.90

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.