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Finding the Third Proportional to 6,941 and 14,449

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Solution

The third proportional to 6,941 and 14,449 is: 30,078.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,941 : 14,449 = 14,449 : x
  2. Step 2: Convert to fraction form
    6,941/14,449 = 14,449/x
  3. Step 3: Cross multiply
    6,941x = 14,449 × 14,449
  4. Step 4: Simplify right side
    6,941x = 208,773,601
  5. Step 5: Solve for x
    x = 208,773,601/6,941
  6. Step 6: Final answer
    x = 30,078.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.