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Finding the Third Proportional to 36,996 and 80,751

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Solution

The third proportional to 36,996 and 80,751 is: 176,254.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,996 : 80,751 = 80,751 : x
  2. Step 2: Convert to fraction form
    36,996/80,751 = 80,751/x
  3. Step 3: Cross multiply
    36,996x = 80,751 × 80,751
  4. Step 4: Simplify right side
    36,996x = 6,520,724,001
  5. Step 5: Solve for x
    x = 6,520,724,001/36,996
  6. Step 6: Final answer
    x = 176,254.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.