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Finding the Third Proportional to 2,219 and 4,668

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Solution

The third proportional to 2,219 and 4,668 is: 9,819.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219 : 4,668 = 4,668 : x
  2. Step 2: Convert to fraction form
    2,219/4,668 = 4,668/x
  3. Step 3: Cross multiply
    2,219x = 4,668 × 4,668
  4. Step 4: Simplify right side
    2,219x = 21,790,224
  5. Step 5: Solve for x
    x = 21,790,224/2,219
  6. Step 6: Final answer
    x = 9,819.84

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.