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Finding the Third Proportional to 5,825 and 12,794

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Solution

The third proportional to 5,825 and 12,794 is: 28,100.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825 : 12,794 = 12,794 : x
  2. Step 2: Convert to fraction form
    5,825/12,794 = 12,794/x
  3. Step 3: Cross multiply
    5,825x = 12,794 × 12,794
  4. Step 4: Simplify right side
    5,825x = 163,686,436
  5. Step 5: Solve for x
    x = 163,686,436/5,825
  6. Step 6: Final answer
    x = 28,100.68

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.