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Finding the Third Proportional to 12,884 and 28,092

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Solution

The third proportional to 12,884 and 28,092 is: 61,251.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884 : 28,092 = 28,092 : x
  2. Step 2: Convert to fraction form
    12,884/28,092 = 28,092/x
  3. Step 3: Cross multiply
    12,884x = 28,092 × 28,092
  4. Step 4: Simplify right side
    12,884x = 789,160,464
  5. Step 5: Solve for x
    x = 789,160,464/12,884
  6. Step 6: Final answer
    x = 61,251.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.