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Finding the Third Proportional to 12,138.75 and 24,864.75

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Solution

The third proportional to 12,138.75 and 24,864.75 is: 50,932.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.75 : 24,864.75 = 24,864.75 : x
  2. Step 2: Convert to fraction form
    12,138.75/24,864.75 = 24,864.75/x
  3. Step 3: Cross multiply
    12,138.75x = 24,864.75 × 24,864.75
  4. Step 4: Simplify right side
    12,138.75x = 618,255,792.56
  5. Step 5: Solve for x
    x = 618,255,792.56/12,138.75
  6. Step 6: Final answer
    x = 50,932.41

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.