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Finding the Third Proportional to 3,196 and 3,529

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Solution

The third proportional to 3,196 and 3,529 is: 3,896.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196 : 3,529 = 3,529 : x
  2. Step 2: Convert to fraction form
    3,196/3,529 = 3,529/x
  3. Step 3: Cross multiply
    3,196x = 3,529 × 3,529
  4. Step 4: Simplify right side
    3,196x = 12,453,841
  5. Step 5: Solve for x
    x = 12,453,841/3,196
  6. Step 6: Final answer
    x = 3,896.70

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.