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Finding the Third Proportional to 2,378 and 3,825

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Solution

The third proportional to 2,378 and 3,825 is: 6,152.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378 : 3,825 = 3,825 : x
  2. Step 2: Convert to fraction form
    2,378/3,825 = 3,825/x
  3. Step 3: Cross multiply
    2,378x = 3,825 × 3,825
  4. Step 4: Simplify right side
    2,378x = 14,630,625
  5. Step 5: Solve for x
    x = 14,630,625/2,378
  6. Step 6: Final answer
    x = 6,152.49

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.