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Finding the Third Proportional to 2,538 and 3,894

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Solution

The third proportional to 2,538 and 3,894 is: 5,974.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538 : 3,894 = 3,894 : x
  2. Step 2: Convert to fraction form
    2,538/3,894 = 3,894/x
  3. Step 3: Cross multiply
    2,538x = 3,894 × 3,894
  4. Step 4: Simplify right side
    2,538x = 15,163,236
  5. Step 5: Solve for x
    x = 15,163,236/2,538
  6. Step 6: Final answer
    x = 5,974.48

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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.