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Finding the Third Proportional to 28,162 and 41,219

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Solution

The third proportional to 28,162 and 41,219 is: 60,329.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,162 : 41,219 = 41,219 : x
  2. Step 2: Convert to fraction form
    28,162/41,219 = 41,219/x
  3. Step 3: Cross multiply
    28,162x = 41,219 × 41,219
  4. Step 4: Simplify right side
    28,162x = 1,699,005,961
  5. Step 5: Solve for x
    x = 1,699,005,961/28,162
  6. Step 6: Final answer
    x = 60,329.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.