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Finding the Third Proportional to 14,105 and 30,979

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Solution

The third proportional to 14,105 and 30,979 is: 68,039.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,105 : 30,979 = 30,979 : x
  2. Step 2: Convert to fraction form
    14,105/30,979 = 30,979/x
  3. Step 3: Cross multiply
    14,105x = 30,979 × 30,979
  4. Step 4: Simplify right side
    14,105x = 959,698,441
  5. Step 5: Solve for x
    x = 959,698,441/14,105
  6. Step 6: Final answer
    x = 68,039.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.