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Finding the Third Proportional to 12,896 and 20,672

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Solution

The third proportional to 12,896 and 20,672 is: 33,136.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,896 : 20,672 = 20,672 : x
  2. Step 2: Convert to fraction form
    12,896/20,672 = 20,672/x
  3. Step 3: Cross multiply
    12,896x = 20,672 × 20,672
  4. Step 4: Simplify right side
    12,896x = 427,331,584
  5. Step 5: Solve for x
    x = 427,331,584/12,896
  6. Step 6: Final answer
    x = 33,136.75

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.