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Finding the Third Proportional to 35,171 and 49,529

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Solution

The third proportional to 35,171 and 49,529 is: 69,748.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,171 : 49,529 = 49,529 : x
  2. Step 2: Convert to fraction form
    35,171/49,529 = 49,529/x
  3. Step 3: Cross multiply
    35,171x = 49,529 × 49,529
  4. Step 4: Simplify right side
    35,171x = 2,453,121,841
  5. Step 5: Solve for x
    x = 2,453,121,841/35,171
  6. Step 6: Final answer
    x = 69,748.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.