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Finding the Third Proportional to 3,743 and 4,166

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Solution

The third proportional to 3,743 and 4,166 is: 4,636.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743 : 4,166 = 4,166 : x
  2. Step 2: Convert to fraction form
    3,743/4,166 = 4,166/x
  3. Step 3: Cross multiply
    3,743x = 4,166 × 4,166
  4. Step 4: Simplify right side
    3,743x = 17,355,556
  5. Step 5: Solve for x
    x = 17,355,556/3,743
  6. Step 6: Final answer
    x = 4,636.80

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.