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Finding the Third Proportional to 13,398 and 27,174

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Solution

The third proportional to 13,398 and 27,174 is: 55,114.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,398 : 27,174 = 27,174 : x
  2. Step 2: Convert to fraction form
    13,398/27,174 = 27,174/x
  3. Step 3: Cross multiply
    13,398x = 27,174 × 27,174
  4. Step 4: Simplify right side
    13,398x = 738,426,276
  5. Step 5: Solve for x
    x = 738,426,276/13,398
  6. Step 6: Final answer
    x = 55,114.66

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.