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Finding the Third Proportional to 7,941 and 16,752

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Solution

The third proportional to 7,941 and 16,752 is: 35,339.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,941 : 16,752 = 16,752 : x
  2. Step 2: Convert to fraction form
    7,941/16,752 = 16,752/x
  3. Step 3: Cross multiply
    7,941x = 16,752 × 16,752
  4. Step 4: Simplify right side
    7,941x = 280,629,504
  5. Step 5: Solve for x
    x = 280,629,504/7,941
  6. Step 6: Final answer
    x = 35,339.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.