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Finding the Third Proportional to 17,884 and 39,668

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Solution

The third proportional to 17,884 and 39,668 is: 87,986.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,884 : 39,668 = 39,668 : x
  2. Step 2: Convert to fraction form
    17,884/39,668 = 39,668/x
  3. Step 3: Cross multiply
    17,884x = 39,668 × 39,668
  4. Step 4: Simplify right side
    17,884x = 1,573,550,224
  5. Step 5: Solve for x
    x = 1,573,550,224/17,884
  6. Step 6: Final answer
    x = 87,986.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.