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Finding the Third Proportional to 3,274 and 5,619

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Solution

The third proportional to 3,274 and 5,619 is: 9,643.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274 : 5,619 = 5,619 : x
  2. Step 2: Convert to fraction form
    3,274/5,619 = 5,619/x
  3. Step 3: Cross multiply
    3,274x = 5,619 × 5,619
  4. Step 4: Simplify right side
    3,274x = 31,573,161
  5. Step 5: Solve for x
    x = 31,573,161/3,274
  6. Step 6: Final answer
    x = 9,643.60

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.