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Finding the Third Proportional to 12,872.25 and 16,149.38

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Solution

The third proportional to 12,872.25 and 16,149.38 is: 20,260.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,872.25 : 16,149.38 = 16,149.38 : x
  2. Step 2: Convert to fraction form
    12,872.25/16,149.38 = 16,149.38/x
  3. Step 3: Cross multiply
    12,872.25x = 16,149.38 × 16,149.38
  4. Step 4: Simplify right side
    12,872.25x = 260,802,312.89
  5. Step 5: Solve for x
    x = 260,802,312.89/12,872.25
  6. Step 6: Final answer
    x = 20,260.82

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.