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Finding the Third Proportional to 24,812 and 50,940

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Solution

The third proportional to 24,812 and 50,940 is: 104,581.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,812 : 50,940 = 50,940 : x
  2. Step 2: Convert to fraction form
    24,812/50,940 = 50,940/x
  3. Step 3: Cross multiply
    24,812x = 50,940 × 50,940
  4. Step 4: Simplify right side
    24,812x = 2,594,883,600
  5. Step 5: Solve for x
    x = 2,594,883,600/24,812
  6. Step 6: Final answer
    x = 104,581.80

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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.