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Finding the Third Proportional to 12,170.25 and 16,273.41

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Solution

The third proportional to 12,170.25 and 16,273.41 is: 21,759.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,170.25 : 16,273.41 = 16,273.41 : x
  2. Step 2: Convert to fraction form
    12,170.25/16,273.41 = 16,273.41/x
  3. Step 3: Cross multiply
    12,170.25x = 16,273.41 × 16,273.41
  4. Step 4: Simplify right side
    12,170.25x = 264,823,750.98
  5. Step 5: Solve for x
    x = 264,823,750.98/12,170.25
  6. Step 6: Final answer
    x = 21,759.93

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.