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Finding the Third Proportional to 2,983 and 6,398

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Solution

The third proportional to 2,983 and 6,398 is: 13,722.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983 : 6,398 = 6,398 : x
  2. Step 2: Convert to fraction form
    2,983/6,398 = 6,398/x
  3. Step 3: Cross multiply
    2,983x = 6,398 × 6,398
  4. Step 4: Simplify right side
    2,983x = 40,934,404
  5. Step 5: Solve for x
    x = 40,934,404/2,983
  6. Step 6: Final answer
    x = 13,722.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.