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Finding the Third Proportional to 12,722 and 30,077

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Solution

The third proportional to 12,722 and 30,077 is: 71,107.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,722 : 30,077 = 30,077 : x
  2. Step 2: Convert to fraction form
    12,722/30,077 = 30,077/x
  3. Step 3: Cross multiply
    12,722x = 30,077 × 30,077
  4. Step 4: Simplify right side
    12,722x = 904,625,929
  5. Step 5: Solve for x
    x = 904,625,929/12,722
  6. Step 6: Final answer
    x = 71,107.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.