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Finding the Third Proportional to 1,837 and 4,083

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Solution

The third proportional to 1,837 and 4,083 is: 9,075.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837 : 4,083 = 4,083 : x
  2. Step 2: Convert to fraction form
    1,837/4,083 = 4,083/x
  3. Step 3: Cross multiply
    1,837x = 4,083 × 4,083
  4. Step 4: Simplify right side
    1,837x = 16,670,889
  5. Step 5: Solve for x
    x = 16,670,889/1,837
  6. Step 6: Final answer
    x = 9,075.06

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.