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Finding the Third Proportional to 11,668 and 23,696

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Solution

The third proportional to 11,668 and 23,696 is: 48,123.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668 : 23,696 = 23,696 : x
  2. Step 2: Convert to fraction form
    11,668/23,696 = 23,696/x
  3. Step 3: Cross multiply
    11,668x = 23,696 × 23,696
  4. Step 4: Simplify right side
    11,668x = 561,500,416
  5. Step 5: Solve for x
    x = 561,500,416/11,668
  6. Step 6: Final answer
    x = 48,123.11

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.