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Finding the Third Proportional to 40,002 and 85,827

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Solution

The third proportional to 40,002 and 85,827 is: 184,147.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,002 : 85,827 = 85,827 : x
  2. Step 2: Convert to fraction form
    40,002/85,827 = 85,827/x
  3. Step 3: Cross multiply
    40,002x = 85,827 × 85,827
  4. Step 4: Simplify right side
    40,002x = 7,366,273,929
  5. Step 5: Solve for x
    x = 7,366,273,929/40,002
  6. Step 6: Final answer
    x = 184,147.64

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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.