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Finding the Third Proportional to 3,059 and 4,375

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Solution

The third proportional to 3,059 and 4,375 is: 6,257.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059 : 4,375 = 4,375 : x
  2. Step 2: Convert to fraction form
    3,059/4,375 = 4,375/x
  3. Step 3: Cross multiply
    3,059x = 4,375 × 4,375
  4. Step 4: Simplify right side
    3,059x = 19,140,625
  5. Step 5: Solve for x
    x = 19,140,625/3,059
  6. Step 6: Final answer
    x = 6,257.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.