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Finding the Third Proportional to 13,434 and 29,174

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Solution

The third proportional to 13,434 and 29,174 is: 63,355.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,434 : 29,174 = 29,174 : x
  2. Step 2: Convert to fraction form
    13,434/29,174 = 29,174/x
  3. Step 3: Cross multiply
    13,434x = 29,174 × 29,174
  4. Step 4: Simplify right side
    13,434x = 851,122,276
  5. Step 5: Solve for x
    x = 851,122,276/13,434
  6. Step 6: Final answer
    x = 63,355.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.