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Finding the Third Proportional to 40,017 and 85,845

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Solution

The third proportional to 40,017 and 85,845 is: 184,155.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,017 : 85,845 = 85,845 : x
  2. Step 2: Convert to fraction form
    40,017/85,845 = 85,845/x
  3. Step 3: Cross multiply
    40,017x = 85,845 × 85,845
  4. Step 4: Simplify right side
    40,017x = 7,369,364,025
  5. Step 5: Solve for x
    x = 7,369,364,025/40,017
  6. Step 6: Final answer
    x = 184,155.83

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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.