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Finding the Third Proportional to 23,283 and 49,194

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Solution

The third proportional to 23,283 and 49,194 is: 103,940.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,283 : 49,194 = 49,194 : x
  2. Step 2: Convert to fraction form
    23,283/49,194 = 49,194/x
  3. Step 3: Cross multiply
    23,283x = 49,194 × 49,194
  4. Step 4: Simplify right side
    23,283x = 2,420,049,636
  5. Step 5: Solve for x
    x = 2,420,049,636/23,283
  6. Step 6: Final answer
    x = 103,940.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.