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Finding the Third Proportional to 18,329 and 39,938

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Solution

The third proportional to 18,329 and 39,938 is: 87,022.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,329 : 39,938 = 39,938 : x
  2. Step 2: Convert to fraction form
    18,329/39,938 = 39,938/x
  3. Step 3: Cross multiply
    18,329x = 39,938 × 39,938
  4. Step 4: Simplify right side
    18,329x = 1,595,043,844
  5. Step 5: Solve for x
    x = 1,595,043,844/18,329
  6. Step 6: Final answer
    x = 87,022.96

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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.