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Finding the Third Proportional to 5,844 and 13,422

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Solution

The third proportional to 5,844 and 13,422 is: 30,826.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,844 : 13,422 = 13,422 : x
  2. Step 2: Convert to fraction form
    5,844/13,422 = 13,422/x
  3. Step 3: Cross multiply
    5,844x = 13,422 × 13,422
  4. Step 4: Simplify right side
    5,844x = 180,150,084
  5. Step 5: Solve for x
    x = 180,150,084/5,844
  6. Step 6: Final answer
    x = 30,826.50

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.