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Finding the Third Proportional to 18,057 and 43,500

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Solution

The third proportional to 18,057 and 43,500 is: 104,793.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,057 : 43,500 = 43,500 : x
  2. Step 2: Convert to fraction form
    18,057/43,500 = 43,500/x
  3. Step 3: Cross multiply
    18,057x = 43,500 × 43,500
  4. Step 4: Simplify right side
    18,057x = 1,892,250,000
  5. Step 5: Solve for x
    x = 1,892,250,000/18,057
  6. Step 6: Final answer
    x = 104,793.16

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.