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Finding the Third Proportional to 19,845 and 39,186

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Solution

The third proportional to 19,845 and 39,186 is: 77,376.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,845 : 39,186 = 39,186 : x
  2. Step 2: Convert to fraction form
    19,845/39,186 = 39,186/x
  3. Step 3: Cross multiply
    19,845x = 39,186 × 39,186
  4. Step 4: Simplify right side
    19,845x = 1,535,542,596
  5. Step 5: Solve for x
    x = 1,535,542,596/19,845
  6. Step 6: Final answer
    x = 77,376.80

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.