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Finding the Third Proportional to 23,284 and 50,696

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Solution

The third proportional to 23,284 and 50,696 is: 110,379.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,284 : 50,696 = 50,696 : x
  2. Step 2: Convert to fraction form
    23,284/50,696 = 50,696/x
  3. Step 3: Cross multiply
    23,284x = 50,696 × 50,696
  4. Step 4: Simplify right side
    23,284x = 2,570,084,416
  5. Step 5: Solve for x
    x = 2,570,084,416/23,284
  6. Step 6: Final answer
    x = 110,379.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.