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Finding the Third Proportional to 4,184 and 5,911

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Solution

The third proportional to 4,184 and 5,911 is: 8,350.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,184 : 5,911 = 5,911 : x
  2. Step 2: Convert to fraction form
    4,184/5,911 = 5,911/x
  3. Step 3: Cross multiply
    4,184x = 5,911 × 5,911
  4. Step 4: Simplify right side
    4,184x = 34,939,921
  5. Step 5: Solve for x
    x = 34,939,921/4,184
  6. Step 6: Final answer
    x = 8,350.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.