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Finding the Third Proportional to 6,828 and 12,954

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Solution

The third proportional to 6,828 and 12,954 is: 24,576.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828 : 12,954 = 12,954 : x
  2. Step 2: Convert to fraction form
    6,828/12,954 = 12,954/x
  3. Step 3: Cross multiply
    6,828x = 12,954 × 12,954
  4. Step 4: Simplify right side
    6,828x = 167,806,116
  5. Step 5: Solve for x
    x = 167,806,116/6,828
  6. Step 6: Final answer
    x = 24,576.17

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.