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Finding the Third Proportional to 16,066 and 24,325

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Solution

The third proportional to 16,066 and 24,325 is: 36,829.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,066 : 24,325 = 24,325 : x
  2. Step 2: Convert to fraction form
    16,066/24,325 = 24,325/x
  3. Step 3: Cross multiply
    16,066x = 24,325 × 24,325
  4. Step 4: Simplify right side
    16,066x = 591,705,625
  5. Step 5: Solve for x
    x = 591,705,625/16,066
  6. Step 6: Final answer
    x = 36,829.68

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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.