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Finding the Third Proportional to 3,786 and 5,676

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Solution

The third proportional to 3,786 and 5,676 is: 8,509.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786 : 5,676 = 5,676 : x
  2. Step 2: Convert to fraction form
    3,786/5,676 = 5,676/x
  3. Step 3: Cross multiply
    3,786x = 5,676 × 5,676
  4. Step 4: Simplify right side
    3,786x = 32,216,976
  5. Step 5: Solve for x
    x = 32,216,976/3,786
  6. Step 6: Final answer
    x = 8,509.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.