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Finding the Third Proportional to 16,812 and 23,757.75

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Solution

The third proportional to 16,812 and 23,757.75 is: 33,573.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,812 : 23,757.75 = 23,757.75 : x
  2. Step 2: Convert to fraction form
    16,812/23,757.75 = 23,757.75/x
  3. Step 3: Cross multiply
    16,812x = 23,757.75 × 23,757.75
  4. Step 4: Simplify right side
    16,812x = 564,430,685.06
  5. Step 5: Solve for x
    x = 564,430,685.06/16,812
  6. Step 6: Final answer
    x = 33,573.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.