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Finding the Third Proportional to 18,832 and 28,157

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Solution

The third proportional to 18,832 and 28,157 is: 42,099.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,832 : 28,157 = 28,157 : x
  2. Step 2: Convert to fraction form
    18,832/28,157 = 28,157/x
  3. Step 3: Cross multiply
    18,832x = 28,157 × 28,157
  4. Step 4: Simplify right side
    18,832x = 792,816,649
  5. Step 5: Solve for x
    x = 792,816,649/18,832
  6. Step 6: Final answer
    x = 42,099.44

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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.