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Finding the Third Proportional to 3,419 and 5,554

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Solution

The third proportional to 3,419 and 5,554 is: 9,022.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419 : 5,554 = 5,554 : x
  2. Step 2: Convert to fraction form
    3,419/5,554 = 5,554/x
  3. Step 3: Cross multiply
    3,419x = 5,554 × 5,554
  4. Step 4: Simplify right side
    3,419x = 30,846,916
  5. Step 5: Solve for x
    x = 30,846,916/3,419
  6. Step 6: Final answer
    x = 9,022.20

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.