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Finding the Third Proportional to 3,799.41 and 8,255.67

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Solution

The third proportional to 3,799.41 and 8,255.67 is: 17,938.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,799.41 : 8,255.67 = 8,255.67 : x
  2. Step 2: Convert to fraction form
    3,799.41/8,255.67 = 8,255.67/x
  3. Step 3: Cross multiply
    3,799.41x = 8,255.67 × 8,255.67
  4. Step 4: Simplify right side
    3,799.41x = 68,156,118.11
  5. Step 5: Solve for x
    x = 68,156,118.11/3,799.41
  6. Step 6: Final answer
    x = 17,938.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.