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Finding the Third Proportional to 18,734 and 28,224.75

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Solution

The third proportional to 18,734 and 28,224.75 is: 42,523.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,734 : 28,224.75 = 28,224.75 : x
  2. Step 2: Convert to fraction form
    18,734/28,224.75 = 28,224.75/x
  3. Step 3: Cross multiply
    18,734x = 28,224.75 × 28,224.75
  4. Step 4: Simplify right side
    18,734x = 796,636,512.56
  5. Step 5: Solve for x
    x = 796,636,512.56/18,734
  6. Step 6: Final answer
    x = 42,523.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.