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Finding the Third Proportional to 2,380 and 3,801

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Solution

The third proportional to 2,380 and 3,801 is: 6,070.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380 : 3,801 = 3,801 : x
  2. Step 2: Convert to fraction form
    2,380/3,801 = 3,801/x
  3. Step 3: Cross multiply
    2,380x = 3,801 × 3,801
  4. Step 4: Simplify right side
    2,380x = 14,447,601
  5. Step 5: Solve for x
    x = 14,447,601/2,380
  6. Step 6: Final answer
    x = 6,070.42

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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.