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Finding the Third Proportional to 3,422 and 5,125

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Solution

The third proportional to 3,422 and 5,125 is: 7,675.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422 : 5,125 = 5,125 : x
  2. Step 2: Convert to fraction form
    3,422/5,125 = 5,125/x
  3. Step 3: Cross multiply
    3,422x = 5,125 × 5,125
  4. Step 4: Simplify right side
    3,422x = 26,265,625
  5. Step 5: Solve for x
    x = 26,265,625/3,422
  6. Step 6: Final answer
    x = 7,675.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.