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Finding the Third Proportional to 3,760 and 6,104

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Solution

The third proportional to 3,760 and 6,104 is: 9,909.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760 : 6,104 = 6,104 : x
  2. Step 2: Convert to fraction form
    3,760/6,104 = 6,104/x
  3. Step 3: Cross multiply
    3,760x = 6,104 × 6,104
  4. Step 4: Simplify right side
    3,760x = 37,258,816
  5. Step 5: Solve for x
    x = 37,258,816/3,760
  6. Step 6: Final answer
    x = 9,909.26

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.