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Finding the Third Proportional to 10,647 and 16,668

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Solution

The third proportional to 10,647 and 16,668 is: 26,093.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647 : 16,668 = 16,668 : x
  2. Step 2: Convert to fraction form
    10,647/16,668 = 16,668/x
  3. Step 3: Cross multiply
    10,647x = 16,668 × 16,668
  4. Step 4: Simplify right side
    10,647x = 277,822,224
  5. Step 5: Solve for x
    x = 277,822,224/10,647
  6. Step 6: Final answer
    x = 26,093.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.