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Finding the Third Proportional to 23,144 and 49,195

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Solution

The third proportional to 23,144 and 49,195 is: 104,569.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,144 : 49,195 = 49,195 : x
  2. Step 2: Convert to fraction form
    23,144/49,195 = 49,195/x
  3. Step 3: Cross multiply
    23,144x = 49,195 × 49,195
  4. Step 4: Simplify right side
    23,144x = 2,420,148,025
  5. Step 5: Solve for x
    x = 2,420,148,025/23,144
  6. Step 6: Final answer
    x = 104,569.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.