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Finding the Third Proportional to 40,027 and 85,989

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Solution

The third proportional to 40,027 and 85,989 is: 184,728.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,027 : 85,989 = 85,989 : x
  2. Step 2: Convert to fraction form
    40,027/85,989 = 85,989/x
  3. Step 3: Cross multiply
    40,027x = 85,989 × 85,989
  4. Step 4: Simplify right side
    40,027x = 7,394,108,121
  5. Step 5: Solve for x
    x = 7,394,108,121/40,027
  6. Step 6: Final answer
    x = 184,728.01

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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.