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Finding the Third Proportional to 16,193 and 24,407

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Solution

The third proportional to 16,193 and 24,407 is: 36,787.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,193 : 24,407 = 24,407 : x
  2. Step 2: Convert to fraction form
    16,193/24,407 = 24,407/x
  3. Step 3: Cross multiply
    16,193x = 24,407 × 24,407
  4. Step 4: Simplify right side
    16,193x = 595,701,649
  5. Step 5: Solve for x
    x = 595,701,649/16,193
  6. Step 6: Final answer
    x = 36,787.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.