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Finding the Third Proportional to 19,183 and 39,698

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Solution

The third proportional to 19,183 and 39,698 is: 82,152.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,183 : 39,698 = 39,698 : x
  2. Step 2: Convert to fraction form
    19,183/39,698 = 39,698/x
  3. Step 3: Cross multiply
    19,183x = 39,698 × 39,698
  4. Step 4: Simplify right side
    19,183x = 1,575,931,204
  5. Step 5: Solve for x
    x = 1,575,931,204/19,183
  6. Step 6: Final answer
    x = 82,152.49

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.