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Finding the Third Proportional to 3,791.48 and 7,885.69

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Solution

The third proportional to 3,791.48 and 7,885.69 is: 16,401.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.48 : 7,885.69 = 7,885.69 : x
  2. Step 2: Convert to fraction form
    3,791.48/7,885.69 = 7,885.69/x
  3. Step 3: Cross multiply
    3,791.48x = 7,885.69 × 7,885.69
  4. Step 4: Simplify right side
    3,791.48x = 62,184,171.31
  5. Step 5: Solve for x
    x = 62,184,171.31/3,791.48
  6. Step 6: Final answer
    x = 16,401.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.