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Finding the Third Proportional to 12,129 and 18,692

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Solution

The third proportional to 12,129 and 18,692 is: 28,806.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129 : 18,692 = 18,692 : x
  2. Step 2: Convert to fraction form
    12,129/18,692 = 18,692/x
  3. Step 3: Cross multiply
    12,129x = 18,692 × 18,692
  4. Step 4: Simplify right side
    12,129x = 349,390,864
  5. Step 5: Solve for x
    x = 349,390,864/12,129
  6. Step 6: Final answer
    x = 28,806.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.