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Finding the Third Proportional to 7,647 and 16,751

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Solution

The third proportional to 7,647 and 16,751 is: 36,693.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647 : 16,751 = 16,751 : x
  2. Step 2: Convert to fraction form
    7,647/16,751 = 16,751/x
  3. Step 3: Cross multiply
    7,647x = 16,751 × 16,751
  4. Step 4: Simplify right side
    7,647x = 280,596,001
  5. Step 5: Solve for x
    x = 280,596,001/7,647
  6. Step 6: Final answer
    x = 36,693.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.