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Finding the Third Proportional to 12,722 and 26,244

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Solution

The third proportional to 12,722 and 26,244 is: 54,138.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,722 : 26,244 = 26,244 : x
  2. Step 2: Convert to fraction form
    12,722/26,244 = 26,244/x
  3. Step 3: Cross multiply
    12,722x = 26,244 × 26,244
  4. Step 4: Simplify right side
    12,722x = 688,747,536
  5. Step 5: Solve for x
    x = 688,747,536/12,722
  6. Step 6: Final answer
    x = 54,138.31

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.