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Finding the Third Proportional to 36,926 and 80,084

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Solution

The third proportional to 36,926 and 80,084 is: 173,683.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,926 : 80,084 = 80,084 : x
  2. Step 2: Convert to fraction form
    36,926/80,084 = 80,084/x
  3. Step 3: Cross multiply
    36,926x = 80,084 × 80,084
  4. Step 4: Simplify right side
    36,926x = 6,413,447,056
  5. Step 5: Solve for x
    x = 6,413,447,056/36,926
  6. Step 6: Final answer
    x = 173,683.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.