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Finding the Third Proportional to 13,208 and 27,256

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Solution

The third proportional to 13,208 and 27,256 is: 56,245.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,208 : 27,256 = 27,256 : x
  2. Step 2: Convert to fraction form
    13,208/27,256 = 27,256/x
  3. Step 3: Cross multiply
    13,208x = 27,256 × 27,256
  4. Step 4: Simplify right side
    13,208x = 742,889,536
  5. Step 5: Solve for x
    x = 742,889,536/13,208
  6. Step 6: Final answer
    x = 56,245.42

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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.