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Finding the Third Proportional to 6,745 and 14,174

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Solution

The third proportional to 6,745 and 14,174 is: 29,785.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745 : 14,174 = 14,174 : x
  2. Step 2: Convert to fraction form
    6,745/14,174 = 14,174/x
  3. Step 3: Cross multiply
    6,745x = 14,174 × 14,174
  4. Step 4: Simplify right side
    6,745x = 200,902,276
  5. Step 5: Solve for x
    x = 200,902,276/6,745
  6. Step 6: Final answer
    x = 29,785.36

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.