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Finding the Third Proportional to 1,839 and 4,401.75

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Solution

The third proportional to 1,839 and 4,401.75 is: 10,535.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,839 : 4,401.75 = 4,401.75 : x
  2. Step 2: Convert to fraction form
    1,839/4,401.75 = 4,401.75/x
  3. Step 3: Cross multiply
    1,839x = 4,401.75 × 4,401.75
  4. Step 4: Simplify right side
    1,839x = 19,375,403.06
  5. Step 5: Solve for x
    x = 19,375,403.06/1,839
  6. Step 6: Final answer
    x = 10,535.84

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.