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Finding the Third Proportional to 2,869 and 4,143

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Solution

The third proportional to 2,869 and 4,143 is: 5,982.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869 : 4,143 = 4,143 : x
  2. Step 2: Convert to fraction form
    2,869/4,143 = 4,143/x
  3. Step 3: Cross multiply
    2,869x = 4,143 × 4,143
  4. Step 4: Simplify right side
    2,869x = 17,164,449
  5. Step 5: Solve for x
    x = 17,164,449/2,869
  6. Step 6: Final answer
    x = 5,982.73

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.