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Finding the Third Proportional to 2,378 and 3,800

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Solution

The third proportional to 2,378 and 3,800 is: 6,072.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378 : 3,800 = 3,800 : x
  2. Step 2: Convert to fraction form
    2,378/3,800 = 3,800/x
  3. Step 3: Cross multiply
    2,378x = 3,800 × 3,800
  4. Step 4: Simplify right side
    2,378x = 14,440,000
  5. Step 5: Solve for x
    x = 14,440,000/2,378
  6. Step 6: Final answer
    x = 6,072.33

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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.