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Finding the Third Proportional to 18,898 and 39,956

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Solution

The third proportional to 18,898 and 39,956 is: 84,478.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,898 : 39,956 = 39,956 : x
  2. Step 2: Convert to fraction form
    18,898/39,956 = 39,956/x
  3. Step 3: Cross multiply
    18,898x = 39,956 × 39,956
  4. Step 4: Simplify right side
    18,898x = 1,596,481,936
  5. Step 5: Solve for x
    x = 1,596,481,936/18,898
  6. Step 6: Final answer
    x = 84,478.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.