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Finding the Third Proportional to 18,986 and 41,668

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Solution

The third proportional to 18,986 and 41,668 is: 91,447.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,986 : 41,668 = 41,668 : x
  2. Step 2: Convert to fraction form
    18,986/41,668 = 41,668/x
  3. Step 3: Cross multiply
    18,986x = 41,668 × 41,668
  4. Step 4: Simplify right side
    18,986x = 1,736,222,224
  5. Step 5: Solve for x
    x = 1,736,222,224/18,986
  6. Step 6: Final answer
    x = 91,447.50

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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.