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Finding the Third Proportional to 19,508 and 43,234

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Solution

The third proportional to 19,508 and 43,234 is: 95,816.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,508 : 43,234 = 43,234 : x
  2. Step 2: Convert to fraction form
    19,508/43,234 = 43,234/x
  3. Step 3: Cross multiply
    19,508x = 43,234 × 43,234
  4. Step 4: Simplify right side
    19,508x = 1,869,178,756
  5. Step 5: Solve for x
    x = 1,869,178,756/19,508
  6. Step 6: Final answer
    x = 95,816.01

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.