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Finding the Third Proportional to 19,649 and 40,206

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Solution

The third proportional to 19,649 and 40,206 is: 82,269.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,649 : 40,206 = 40,206 : x
  2. Step 2: Convert to fraction form
    19,649/40,206 = 40,206/x
  3. Step 3: Cross multiply
    19,649x = 40,206 × 40,206
  4. Step 4: Simplify right side
    19,649x = 1,616,522,436
  5. Step 5: Solve for x
    x = 1,616,522,436/19,649
  6. Step 6: Final answer
    x = 82,269.96

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.