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Finding the Third Proportional to 11,186 and 23,668

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Solution

The third proportional to 11,186 and 23,668 is: 50,078.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,186 : 23,668 = 23,668 : x
  2. Step 2: Convert to fraction form
    11,186/23,668 = 23,668/x
  3. Step 3: Cross multiply
    11,186x = 23,668 × 23,668
  4. Step 4: Simplify right side
    11,186x = 560,174,224
  5. Step 5: Solve for x
    x = 560,174,224/11,186
  6. Step 6: Final answer
    x = 50,078.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.