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Finding the Third Proportional to 3,890 and 8,104

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Solution

The third proportional to 3,890 and 8,104 is: 16,882.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890 : 8,104 = 8,104 : x
  2. Step 2: Convert to fraction form
    3,890/8,104 = 8,104/x
  3. Step 3: Cross multiply
    3,890x = 8,104 × 8,104
  4. Step 4: Simplify right side
    3,890x = 65,674,816
  5. Step 5: Solve for x
    x = 65,674,816/3,890
  6. Step 6: Final answer
    x = 16,882.99

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.