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Finding the Third Proportional to 12,896 and 20,104

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Solution

The third proportional to 12,896 and 20,104 is: 31,340.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,896 : 20,104 = 20,104 : x
  2. Step 2: Convert to fraction form
    12,896/20,104 = 20,104/x
  3. Step 3: Cross multiply
    12,896x = 20,104 × 20,104
  4. Step 4: Simplify right side
    12,896x = 404,170,816
  5. Step 5: Solve for x
    x = 404,170,816/12,896
  6. Step 6: Final answer
    x = 31,340.79

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.