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Finding the Third Proportional to 3,224 and 3,504

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Solution

The third proportional to 3,224 and 3,504 is: 3,808.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224 : 3,504 = 3,504 : x
  2. Step 2: Convert to fraction form
    3,224/3,504 = 3,504/x
  3. Step 3: Cross multiply
    3,224x = 3,504 × 3,504
  4. Step 4: Simplify right side
    3,224x = 12,278,016
  5. Step 5: Solve for x
    x = 12,278,016/3,224
  6. Step 6: Final answer
    x = 3,808.32

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.