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Finding the Third Proportional to 24,094 and 51,104

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Solution

The third proportional to 24,094 and 51,104 is: 108,392.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,094 : 51,104 = 51,104 : x
  2. Step 2: Convert to fraction form
    24,094/51,104 = 51,104/x
  3. Step 3: Cross multiply
    24,094x = 51,104 × 51,104
  4. Step 4: Simplify right side
    24,094x = 2,611,618,816
  5. Step 5: Solve for x
    x = 2,611,618,816/24,094
  6. Step 6: Final answer
    x = 108,392.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.