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Finding the Third Proportional to 3,564 and 3,876

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Solution

The third proportional to 3,564 and 3,876 is: 4,215.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564 : 3,876 = 3,876 : x
  2. Step 2: Convert to fraction form
    3,564/3,876 = 3,876/x
  3. Step 3: Cross multiply
    3,564x = 3,876 × 3,876
  4. Step 4: Simplify right side
    3,564x = 15,023,376
  5. Step 5: Solve for x
    x = 15,023,376/3,564
  6. Step 6: Final answer
    x = 4,215.31

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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.