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Finding the Third Proportional to 2,941 and 6,422

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Solution

The third proportional to 2,941 and 6,422 is: 14,023.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941 : 6,422 = 6,422 : x
  2. Step 2: Convert to fraction form
    2,941/6,422 = 6,422/x
  3. Step 3: Cross multiply
    2,941x = 6,422 × 6,422
  4. Step 4: Simplify right side
    2,941x = 41,242,084
  5. Step 5: Solve for x
    x = 41,242,084/2,941
  6. Step 6: Final answer
    x = 14,023.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.