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Finding the Third Proportional to 10,682 and 24,954

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Solution

The third proportional to 10,682 and 24,954 is: 58,294.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682 : 24,954 = 24,954 : x
  2. Step 2: Convert to fraction form
    10,682/24,954 = 24,954/x
  3. Step 3: Cross multiply
    10,682x = 24,954 × 24,954
  4. Step 4: Simplify right side
    10,682x = 622,702,116
  5. Step 5: Solve for x
    x = 622,702,116/10,682
  6. Step 6: Final answer
    x = 58,294.52

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.