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Finding the Third Proportional to 2,381 and 3,390

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Solution

The third proportional to 2,381 and 3,390 is: 4,826.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381 : 3,390 = 3,390 : x
  2. Step 2: Convert to fraction form
    2,381/3,390 = 3,390/x
  3. Step 3: Cross multiply
    2,381x = 3,390 × 3,390
  4. Step 4: Simplify right side
    2,381x = 11,492,100
  5. Step 5: Solve for x
    x = 11,492,100/2,381
  6. Step 6: Final answer
    x = 4,826.59

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.