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Finding the Third Proportional to 772 and 1,825

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Solution

The third proportional to 772 and 1,825 is: 4,314.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    772 : 1,825 = 1,825 : x
  2. Step 2: Convert to fraction form
    772/1,825 = 1,825/x
  3. Step 3: Cross multiply
    772x = 1,825 × 1,825
  4. Step 4: Simplify right side
    772x = 3,330,625
  5. Step 5: Solve for x
    x = 3,330,625/772
  6. Step 6: Final answer
    x = 4,314.28

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.