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Finding the Third Proportional to 28,877 and 43,198

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Solution

The third proportional to 28,877 and 43,198 is: 64,621.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,877 : 43,198 = 43,198 : x
  2. Step 2: Convert to fraction form
    28,877/43,198 = 43,198/x
  3. Step 3: Cross multiply
    28,877x = 43,198 × 43,198
  4. Step 4: Simplify right side
    28,877x = 1,866,067,204
  5. Step 5: Solve for x
    x = 1,866,067,204/28,877
  6. Step 6: Final answer
    x = 64,621.23

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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.