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Finding the Third Proportional to 3,561 and 3,873

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Solution

The third proportional to 3,561 and 3,873 is: 4,212.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,561 : 3,873 = 3,873 : x
  2. Step 2: Convert to fraction form
    3,561/3,873 = 3,873/x
  3. Step 3: Cross multiply
    3,561x = 3,873 × 3,873
  4. Step 4: Simplify right side
    3,561x = 15,000,129
  5. Step 5: Solve for x
    x = 15,000,129/3,561
  6. Step 6: Final answer
    x = 4,212.34

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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.