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Finding the Third Proportional to 11,296 and 13,664

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Solution

The third proportional to 11,296 and 13,664 is: 16,528.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,296 : 13,664 = 13,664 : x
  2. Step 2: Convert to fraction form
    11,296/13,664 = 13,664/x
  3. Step 3: Cross multiply
    11,296x = 13,664 × 13,664
  4. Step 4: Simplify right side
    11,296x = 186,704,896
  5. Step 5: Solve for x
    x = 186,704,896/11,296
  6. Step 6: Final answer
    x = 16,528.41

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.