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Finding the Third Proportional to 1,849 and 2,125

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Solution

The third proportional to 1,849 and 2,125 is: 2,442.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849 : 2,125 = 2,125 : x
  2. Step 2: Convert to fraction form
    1,849/2,125 = 2,125/x
  3. Step 3: Cross multiply
    1,849x = 2,125 × 2,125
  4. Step 4: Simplify right side
    1,849x = 4,515,625
  5. Step 5: Solve for x
    x = 4,515,625/1,849
  6. Step 6: Final answer
    x = 2,442.20

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.