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Finding the Third Proportional to 5,034 and 7,825

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Solution

The third proportional to 5,034 and 7,825 is: 12,163.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034 : 7,825 = 7,825 : x
  2. Step 2: Convert to fraction form
    5,034/7,825 = 7,825/x
  3. Step 3: Cross multiply
    5,034x = 7,825 × 7,825
  4. Step 4: Simplify right side
    5,034x = 61,230,625
  5. Step 5: Solve for x
    x = 61,230,625/5,034
  6. Step 6: Final answer
    x = 12,163.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.