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Finding the Third Proportional to 24,936 and 55,054

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Solution

The third proportional to 24,936 and 55,054 is: 121,548.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,936 : 55,054 = 55,054 : x
  2. Step 2: Convert to fraction form
    24,936/55,054 = 55,054/x
  3. Step 3: Cross multiply
    24,936x = 55,054 × 55,054
  4. Step 4: Simplify right side
    24,936x = 3,030,942,916
  5. Step 5: Solve for x
    x = 3,030,942,916/24,936
  6. Step 6: Final answer
    x = 121,548.88

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.