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Finding the Third Proportional to 24,816 and 50,946

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Solution

The third proportional to 24,816 and 50,946 is: 104,589.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,816 : 50,946 = 50,946 : x
  2. Step 2: Convert to fraction form
    24,816/50,946 = 50,946/x
  3. Step 3: Cross multiply
    24,816x = 50,946 × 50,946
  4. Step 4: Simplify right side
    24,816x = 2,595,494,916
  5. Step 5: Solve for x
    x = 2,595,494,916/24,816
  6. Step 6: Final answer
    x = 104,589.58

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.