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Finding the Third Proportional to 3,274 and 3,986

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Solution

The third proportional to 3,274 and 3,986 is: 4,852.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274 : 3,986 = 3,986 : x
  2. Step 2: Convert to fraction form
    3,274/3,986 = 3,986/x
  3. Step 3: Cross multiply
    3,274x = 3,986 × 3,986
  4. Step 4: Simplify right side
    3,274x = 15,888,196
  5. Step 5: Solve for x
    x = 15,888,196/3,274
  6. Step 6: Final answer
    x = 4,852.84

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.