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Finding the Third Proportional to 13,381 and 30,980

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Solution

The third proportional to 13,381 and 30,980 is: 71,725.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,381 : 30,980 = 30,980 : x
  2. Step 2: Convert to fraction form
    13,381/30,980 = 30,980/x
  3. Step 3: Cross multiply
    13,381x = 30,980 × 30,980
  4. Step 4: Simplify right side
    13,381x = 959,760,400
  5. Step 5: Solve for x
    x = 959,760,400/13,381
  6. Step 6: Final answer
    x = 71,725.61

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.