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Finding the Third Proportional to 20,183 and 43,495

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Solution

The third proportional to 20,183 and 43,495 is: 93,733.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,183 : 43,495 = 43,495 : x
  2. Step 2: Convert to fraction form
    20,183/43,495 = 43,495/x
  3. Step 3: Cross multiply
    20,183x = 43,495 × 43,495
  4. Step 4: Simplify right side
    20,183x = 1,891,815,025
  5. Step 5: Solve for x
    x = 1,891,815,025/20,183
  6. Step 6: Final answer
    x = 93,733.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.