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Finding the Third Proportional to 3,815.86 and 8,174.67

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Solution

The third proportional to 3,815.86 and 8,174.67 is: 17,512.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.86 : 8,174.67 = 8,174.67 : x
  2. Step 2: Convert to fraction form
    3,815.86/8,174.67 = 8,174.67/x
  3. Step 3: Cross multiply
    3,815.86x = 8,174.67 × 8,174.67
  4. Step 4: Simplify right side
    3,815.86x = 66,825,260.26
  5. Step 5: Solve for x
    x = 66,825,260.26/3,815.86
  6. Step 6: Final answer
    x = 17,512.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.