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Finding the Third Proportional to 40,796 and 57,446

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Solution

The third proportional to 40,796 and 57,446 is: 80,891.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,796 : 57,446 = 57,446 : x
  2. Step 2: Convert to fraction form
    40,796/57,446 = 57,446/x
  3. Step 3: Cross multiply
    40,796x = 57,446 × 57,446
  4. Step 4: Simplify right side
    40,796x = 3,300,042,916
  5. Step 5: Solve for x
    x = 3,300,042,916/40,796
  6. Step 6: Final answer
    x = 80,891.34

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.