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Finding the Third Proportional to 7,764 and 16,757

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Solution

The third proportional to 7,764 and 16,757 is: 36,166.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764 : 16,757 = 16,757 : x
  2. Step 2: Convert to fraction form
    7,764/16,757 = 16,757/x
  3. Step 3: Cross multiply
    7,764x = 16,757 × 16,757
  4. Step 4: Simplify right side
    7,764x = 280,797,049
  5. Step 5: Solve for x
    x = 280,797,049/7,764
  6. Step 6: Final answer
    x = 36,166.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.