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Finding the Third Proportional to 40,446 and 44,172

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Solution

The third proportional to 40,446 and 44,172 is: 48,241.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,446 : 44,172 = 44,172 : x
  2. Step 2: Convert to fraction form
    40,446/44,172 = 44,172/x
  3. Step 3: Cross multiply
    40,446x = 44,172 × 44,172
  4. Step 4: Simplify right side
    40,446x = 1,951,165,584
  5. Step 5: Solve for x
    x = 1,951,165,584/40,446
  6. Step 6: Final answer
    x = 48,241.25

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.