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Finding the Third Proportional to 12,015 and 24,951.38

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Solution

The third proportional to 12,015 and 24,951.38 is: 51,816.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,015 : 24,951.38 = 24,951.38 : x
  2. Step 2: Convert to fraction form
    12,015/24,951.38 = 24,951.38/x
  3. Step 3: Cross multiply
    12,015x = 24,951.38 × 24,951.38
  4. Step 4: Simplify right side
    12,015x = 622,571,114.39
  5. Step 5: Solve for x
    x = 622,571,114.39/12,015
  6. Step 6: Final answer
    x = 51,816.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.