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Finding the Third Proportional to 18,825 and 24,991

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Solution

The third proportional to 18,825 and 24,991 is: 33,176.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,825 : 24,991 = 24,991 : x
  2. Step 2: Convert to fraction form
    18,825/24,991 = 24,991/x
  3. Step 3: Cross multiply
    18,825x = 24,991 × 24,991
  4. Step 4: Simplify right side
    18,825x = 624,550,081
  5. Step 5: Solve for x
    x = 624,550,081/18,825
  6. Step 6: Final answer
    x = 33,176.63

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.