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Finding the Third Proportional to 3,777 and 4,200

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Solution

The third proportional to 3,777 and 4,200 is: 4,670.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777 : 4,200 = 4,200 : x
  2. Step 2: Convert to fraction form
    3,777/4,200 = 4,200/x
  3. Step 3: Cross multiply
    3,777x = 4,200 × 4,200
  4. Step 4: Simplify right side
    3,777x = 17,640,000
  5. Step 5: Solve for x
    x = 17,640,000/3,777
  6. Step 6: Final answer
    x = 4,670.37

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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.