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Finding the Third Proportional to 3,698.91 and 7,961.67

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Solution

The third proportional to 3,698.91 and 7,961.67 is: 17,137.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.91 : 7,961.67 = 7,961.67 : x
  2. Step 2: Convert to fraction form
    3,698.91/7,961.67 = 7,961.67/x
  3. Step 3: Cross multiply
    3,698.91x = 7,961.67 × 7,961.67
  4. Step 4: Simplify right side
    3,698.91x = 63,388,219.05
  5. Step 5: Solve for x
    x = 63,388,219.05/3,698.91
  6. Step 6: Final answer
    x = 17,137.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.