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Finding the Third Proportional to 1,944 and 4,225

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Solution

The third proportional to 1,944 and 4,225 is: 9,182.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944 : 4,225 = 4,225 : x
  2. Step 2: Convert to fraction form
    1,944/4,225 = 4,225/x
  3. Step 3: Cross multiply
    1,944x = 4,225 × 4,225
  4. Step 4: Simplify right side
    1,944x = 17,850,625
  5. Step 5: Solve for x
    x = 17,850,625/1,944
  6. Step 6: Final answer
    x = 9,182.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.