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Finding the Third Proportional to 36,027 and 79,071

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Solution

The third proportional to 36,027 and 79,071 is: 173,542.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,027 : 79,071 = 79,071 : x
  2. Step 2: Convert to fraction form
    36,027/79,071 = 79,071/x
  3. Step 3: Cross multiply
    36,027x = 79,071 × 79,071
  4. Step 4: Simplify right side
    36,027x = 6,252,223,041
  5. Step 5: Solve for x
    x = 6,252,223,041/36,027
  6. Step 6: Final answer
    x = 173,542.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.