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Finding the Third Proportional to 2,150 and 4,201

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Solution

The third proportional to 2,150 and 4,201 is: 8,208.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150 : 4,201 = 4,201 : x
  2. Step 2: Convert to fraction form
    2,150/4,201 = 4,201/x
  3. Step 3: Cross multiply
    2,150x = 4,201 × 4,201
  4. Step 4: Simplify right side
    2,150x = 17,648,401
  5. Step 5: Solve for x
    x = 17,648,401/2,150
  6. Step 6: Final answer
    x = 8,208.56

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.