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Finding the Third Proportional to 3,540 and 5,901

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Solution

The third proportional to 3,540 and 5,901 is: 9,836.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540 : 5,901 = 5,901 : x
  2. Step 2: Convert to fraction form
    3,540/5,901 = 5,901/x
  3. Step 3: Cross multiply
    3,540x = 5,901 × 5,901
  4. Step 4: Simplify right side
    3,540x = 34,821,801
  5. Step 5: Solve for x
    x = 34,821,801/3,540
  6. Step 6: Final answer
    x = 9,836.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.