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Finding the Third Proportional to 3,223 and 3,556

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Solution

The third proportional to 3,223 and 3,556 is: 3,923.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223 : 3,556 = 3,556 : x
  2. Step 2: Convert to fraction form
    3,223/3,556 = 3,556/x
  3. Step 3: Cross multiply
    3,223x = 3,556 × 3,556
  4. Step 4: Simplify right side
    3,223x = 12,645,136
  5. Step 5: Solve for x
    x = 12,645,136/3,223
  6. Step 6: Final answer
    x = 3,923.41

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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.