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Finding the Third Proportional to 40,016 and 85,962

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Solution

The third proportional to 40,016 and 85,962 is: 184,662.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,016 : 85,962 = 85,962 : x
  2. Step 2: Convert to fraction form
    40,016/85,962 = 85,962/x
  3. Step 3: Cross multiply
    40,016x = 85,962 × 85,962
  4. Step 4: Simplify right side
    40,016x = 7,389,465,444
  5. Step 5: Solve for x
    x = 7,389,465,444/40,016
  6. Step 6: Final answer
    x = 184,662.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.