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Finding the Third Proportional to 12,008.44 and 19,183.78

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Solution

The third proportional to 12,008.44 and 19,183.78 is: 30,646.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,008.44 : 19,183.78 = 19,183.78 : x
  2. Step 2: Convert to fraction form
    12,008.44/19,183.78 = 19,183.78/x
  3. Step 3: Cross multiply
    12,008.44x = 19,183.78 × 19,183.78
  4. Step 4: Simplify right side
    12,008.44x = 368,017,463.05
  5. Step 5: Solve for x
    x = 368,017,463.05/12,008.44
  6. Step 6: Final answer
    x = 30,646.57

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.