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Finding the Third Proportional to 13,664 and 20,896

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Solution

The third proportional to 13,664 and 20,896 is: 31,955.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,664 : 20,896 = 20,896 : x
  2. Step 2: Convert to fraction form
    13,664/20,896 = 20,896/x
  3. Step 3: Cross multiply
    13,664x = 20,896 × 20,896
  4. Step 4: Simplify right side
    13,664x = 436,642,816
  5. Step 5: Solve for x
    x = 436,642,816/13,664
  6. Step 6: Final answer
    x = 31,955.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.