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Finding the Third Proportional to 2,834 and 4,119

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Solution

The third proportional to 2,834 and 4,119 is: 5,986.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834 : 4,119 = 4,119 : x
  2. Step 2: Convert to fraction form
    2,834/4,119 = 4,119/x
  3. Step 3: Cross multiply
    2,834x = 4,119 × 4,119
  4. Step 4: Simplify right side
    2,834x = 16,966,161
  5. Step 5: Solve for x
    x = 16,966,161/2,834
  6. Step 6: Final answer
    x = 5,986.65

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.