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Finding the Third Proportional to 19,878 and 32,193

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Solution

The third proportional to 19,878 and 32,193 is: 52,137.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,878 : 32,193 = 32,193 : x
  2. Step 2: Convert to fraction form
    19,878/32,193 = 32,193/x
  3. Step 3: Cross multiply
    19,878x = 32,193 × 32,193
  4. Step 4: Simplify right side
    19,878x = 1,036,389,249
  5. Step 5: Solve for x
    x = 1,036,389,249/19,878
  6. Step 6: Final answer
    x = 52,137.50

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.