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Finding the Third Proportional to 12,732 and 19,876

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Solution

The third proportional to 12,732 and 19,876 is: 31,028.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,732 : 19,876 = 19,876 : x
  2. Step 2: Convert to fraction form
    12,732/19,876 = 19,876/x
  3. Step 3: Cross multiply
    12,732x = 19,876 × 19,876
  4. Step 4: Simplify right side
    12,732x = 395,055,376
  5. Step 5: Solve for x
    x = 395,055,376/12,732
  6. Step 6: Final answer
    x = 31,028.54

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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.