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Finding the Third Proportional to 11,928 and 15,692

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Solution

The third proportional to 11,928 and 15,692 is: 20,643.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,928 : 15,692 = 15,692 : x
  2. Step 2: Convert to fraction form
    11,928/15,692 = 15,692/x
  3. Step 3: Cross multiply
    11,928x = 15,692 × 15,692
  4. Step 4: Simplify right side
    11,928x = 246,238,864
  5. Step 5: Solve for x
    x = 246,238,864/11,928
  6. Step 6: Final answer
    x = 20,643.77

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.