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Finding the Third Proportional to 12,375.75 and 16,410.38

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Solution

The third proportional to 12,375.75 and 16,410.38 is: 21,760.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,375.75 : 16,410.38 = 16,410.38 : x
  2. Step 2: Convert to fraction form
    12,375.75/16,410.38 = 16,410.38/x
  3. Step 3: Cross multiply
    12,375.75x = 16,410.38 × 16,410.38
  4. Step 4: Simplify right side
    12,375.75x = 269,300,407.64
  5. Step 5: Solve for x
    x = 269,300,407.64/12,375.75
  6. Step 6: Final answer
    x = 21,760.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.