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Finding the Third Proportional to 12,414.52 and 18,993.87

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Solution

The third proportional to 12,414.52 and 18,993.87 is: 29,060.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.52 : 18,993.87 = 18,993.87 : x
  2. Step 2: Convert to fraction form
    12,414.52/18,993.87 = 18,993.87/x
  3. Step 3: Cross multiply
    12,414.52x = 18,993.87 × 18,993.87
  4. Step 4: Simplify right side
    12,414.52x = 360,766,990.74
  5. Step 5: Solve for x
    x = 360,766,990.74/12,414.52
  6. Step 6: Final answer
    x = 29,060.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.