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Finding the Third Proportional to 23,096 and 49,645

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Solution

The third proportional to 23,096 and 49,645 is: 106,712.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,096 : 49,645 = 49,645 : x
  2. Step 2: Convert to fraction form
    23,096/49,645 = 49,645/x
  3. Step 3: Cross multiply
    23,096x = 49,645 × 49,645
  4. Step 4: Simplify right side
    23,096x = 2,464,626,025
  5. Step 5: Solve for x
    x = 2,464,626,025/23,096
  6. Step 6: Final answer
    x = 106,712.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.