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Finding the Third Proportional to 12,149.25 and 15,524.25

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Solution

The third proportional to 12,149.25 and 15,524.25 is: 19,836.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.25 : 15,524.25 = 15,524.25 : x
  2. Step 2: Convert to fraction form
    12,149.25/15,524.25 = 15,524.25/x
  3. Step 3: Cross multiply
    12,149.25x = 15,524.25 × 15,524.25
  4. Step 4: Simplify right side
    12,149.25x = 241,002,338.06
  5. Step 5: Solve for x
    x = 241,002,338.06/12,149.25
  6. Step 6: Final answer
    x = 19,836.81

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.