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Finding the Third Proportional to 837.94 and 1,791.38

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Solution

The third proportional to 837.94 and 1,791.38 is: 3,829.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.94 : 1,791.38 = 1,791.38 : x
  2. Step 2: Convert to fraction form
    837.94/1,791.38 = 1,791.38/x
  3. Step 3: Cross multiply
    837.94x = 1,791.38 × 1,791.38
  4. Step 4: Simplify right side
    837.94x = 3,209,024.39
  5. Step 5: Solve for x
    x = 3,209,024.39/837.94
  6. Step 6: Final answer
    x = 3,829.67

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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.