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Finding the Third Proportional to 5,941 and 7,021

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Solution

The third proportional to 5,941 and 7,021 is: 8,297.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,941 : 7,021 = 7,021 : x
  2. Step 2: Convert to fraction form
    5,941/7,021 = 7,021/x
  3. Step 3: Cross multiply
    5,941x = 7,021 × 7,021
  4. Step 4: Simplify right side
    5,941x = 49,294,441
  5. Step 5: Solve for x
    x = 49,294,441/5,941
  6. Step 6: Final answer
    x = 8,297.33

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.