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Finding the Third Proportional to 12,975 and 19,626

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Solution

The third proportional to 12,975 and 19,626 is: 29,686.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,975 : 19,626 = 19,626 : x
  2. Step 2: Convert to fraction form
    12,975/19,626 = 19,626/x
  3. Step 3: Cross multiply
    12,975x = 19,626 × 19,626
  4. Step 4: Simplify right side
    12,975x = 385,179,876
  5. Step 5: Solve for x
    x = 385,179,876/12,975
  6. Step 6: Final answer
    x = 29,686.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.