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Finding the Third Proportional to 3,196 and 4,868

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Solution

The third proportional to 3,196 and 4,868 is: 7,414.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196 : 4,868 = 4,868 : x
  2. Step 2: Convert to fraction form
    3,196/4,868 = 4,868/x
  3. Step 3: Cross multiply
    3,196x = 4,868 × 4,868
  4. Step 4: Simplify right side
    3,196x = 23,697,424
  5. Step 5: Solve for x
    x = 23,697,424/3,196
  6. Step 6: Final answer
    x = 7,414.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.