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Finding the Third Proportional to 12,414.94 and 25,138.69

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Solution

The third proportional to 12,414.94 and 25,138.69 is: 50,902.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.94 : 25,138.69 = 25,138.69 : x
  2. Step 2: Convert to fraction form
    12,414.94/25,138.69 = 25,138.69/x
  3. Step 3: Cross multiply
    12,414.94x = 25,138.69 × 25,138.69
  4. Step 4: Simplify right side
    12,414.94x = 631,953,609.22
  5. Step 5: Solve for x
    x = 631,953,609.22/12,414.94
  6. Step 6: Final answer
    x = 50,902.68

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.