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Finding the Third Proportional to 5,834.75 and 12,238.75

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Solution

The third proportional to 5,834.75 and 12,238.75 is: 25,671.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.75 : 12,238.75 = 12,238.75 : x
  2. Step 2: Convert to fraction form
    5,834.75/12,238.75 = 12,238.75/x
  3. Step 3: Cross multiply
    5,834.75x = 12,238.75 × 12,238.75
  4. Step 4: Simplify right side
    5,834.75x = 149,787,001.56
  5. Step 5: Solve for x
    x = 149,787,001.56/5,834.75
  6. Step 6: Final answer
    x = 25,671.54

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.