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Finding the Third Proportional to 40,228 and 43,144

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Solution

The third proportional to 40,228 and 43,144 is: 46,271.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,228 : 43,144 = 43,144 : x
  2. Step 2: Convert to fraction form
    40,228/43,144 = 43,144/x
  3. Step 3: Cross multiply
    40,228x = 43,144 × 43,144
  4. Step 4: Simplify right side
    40,228x = 1,861,404,736
  5. Step 5: Solve for x
    x = 1,861,404,736/40,228
  6. Step 6: Final answer
    x = 46,271.37

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.