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Finding the Third Proportional to 18,675 and 28,014.75

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Solution

The third proportional to 18,675 and 28,014.75 is: 42,025.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,675 : 28,014.75 = 28,014.75 : x
  2. Step 2: Convert to fraction form
    18,675/28,014.75 = 28,014.75/x
  3. Step 3: Cross multiply
    18,675x = 28,014.75 × 28,014.75
  4. Step 4: Simplify right side
    18,675x = 784,826,217.56
  5. Step 5: Solve for x
    x = 784,826,217.56/18,675
  6. Step 6: Final answer
    x = 42,025.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.