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Finding the Third Proportional to 3,878 and 5,939

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Solution

The third proportional to 3,878 and 5,939 is: 9,095.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878 : 5,939 = 5,939 : x
  2. Step 2: Convert to fraction form
    3,878/5,939 = 5,939/x
  3. Step 3: Cross multiply
    3,878x = 5,939 × 5,939
  4. Step 4: Simplify right side
    3,878x = 35,271,721
  5. Step 5: Solve for x
    x = 35,271,721/3,878
  6. Step 6: Final answer
    x = 9,095.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.