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Finding the Third Proportional to 3,676 and 5,838

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Solution

The third proportional to 3,676 and 5,838 is: 9,271.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676 : 5,838 = 5,838 : x
  2. Step 2: Convert to fraction form
    3,676/5,838 = 5,838/x
  3. Step 3: Cross multiply
    3,676x = 5,838 × 5,838
  4. Step 4: Simplify right side
    3,676x = 34,082,244
  5. Step 5: Solve for x
    x = 34,082,244/3,676
  6. Step 6: Final answer
    x = 9,271.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.