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Finding the Third Proportional to 18,563.06 and 30,474

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Solution

The third proportional to 18,563.06 and 30,474 is: 50,027.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,563.06 : 30,474 = 30,474 : x
  2. Step 2: Convert to fraction form
    18,563.06/30,474 = 30,474/x
  3. Step 3: Cross multiply
    18,563.06x = 30,474 × 30,474
  4. Step 4: Simplify right side
    18,563.06x = 928,664,676
  5. Step 5: Solve for x
    x = 928,664,676/18,563.06
  6. Step 6: Final answer
    x = 50,027.56

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.