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Finding the Third Proportional to 36,622.50 and 79,956

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Solution

The third proportional to 36,622.50 and 79,956 is: 174,563.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,622.50 : 79,956 = 79,956 : x
  2. Step 2: Convert to fraction form
    36,622.50/79,956 = 79,956/x
  3. Step 3: Cross multiply
    36,622.50x = 79,956 × 79,956
  4. Step 4: Simplify right side
    36,622.50x = 6,392,961,936
  5. Step 5: Solve for x
    x = 6,392,961,936/36,622.50
  6. Step 6: Final answer
    x = 174,563.78

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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.