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Finding the Third Proportional to 2,039 and 2,916

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Solution

The third proportional to 2,039 and 2,916 is: 4,170.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039 : 2,916 = 2,916 : x
  2. Step 2: Convert to fraction form
    2,039/2,916 = 2,916/x
  3. Step 3: Cross multiply
    2,039x = 2,916 × 2,916
  4. Step 4: Simplify right side
    2,039x = 8,503,056
  5. Step 5: Solve for x
    x = 8,503,056/2,039
  6. Step 6: Final answer
    x = 4,170.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.