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Finding the Third Proportional to 12,928 and 20,140

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Solution

The third proportional to 12,928 and 20,140 is: 31,375.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,928 : 20,140 = 20,140 : x
  2. Step 2: Convert to fraction form
    12,928/20,140 = 20,140/x
  3. Step 3: Cross multiply
    12,928x = 20,140 × 20,140
  4. Step 4: Simplify right side
    12,928x = 405,619,600
  5. Step 5: Solve for x
    x = 405,619,600/12,928
  6. Step 6: Final answer
    x = 31,375.28

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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.