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Finding the Third Proportional to 2,185 and 3,378

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Solution

The third proportional to 2,185 and 3,378 is: 5,222.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185 : 3,378 = 3,378 : x
  2. Step 2: Convert to fraction form
    2,185/3,378 = 3,378/x
  3. Step 3: Cross multiply
    2,185x = 3,378 × 3,378
  4. Step 4: Simplify right side
    2,185x = 11,410,884
  5. Step 5: Solve for x
    x = 11,410,884/2,185
  6. Step 6: Final answer
    x = 5,222.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.