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Finding the Third Proportional to 7,884 and 13,734

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Solution

The third proportional to 7,884 and 13,734 is: 23,924.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884 : 13,734 = 13,734 : x
  2. Step 2: Convert to fraction form
    7,884/13,734 = 13,734/x
  3. Step 3: Cross multiply
    7,884x = 13,734 × 13,734
  4. Step 4: Simplify right side
    7,884x = 188,622,756
  5. Step 5: Solve for x
    x = 188,622,756/7,884
  6. Step 6: Final answer
    x = 23,924.75

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.