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Finding the Third Proportional to 6,831 and 14,648

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Solution

The third proportional to 6,831 and 14,648 is: 31,410.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831 : 14,648 = 14,648 : x
  2. Step 2: Convert to fraction form
    6,831/14,648 = 14,648/x
  3. Step 3: Cross multiply
    6,831x = 14,648 × 14,648
  4. Step 4: Simplify right side
    6,831x = 214,563,904
  5. Step 5: Solve for x
    x = 214,563,904/6,831
  6. Step 6: Final answer
    x = 31,410.32

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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.