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Finding the Third Proportional to 36,646 and 79,084

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Solution

The third proportional to 36,646 and 79,084 is: 170,667.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,646 : 79,084 = 79,084 : x
  2. Step 2: Convert to fraction form
    36,646/79,084 = 79,084/x
  3. Step 3: Cross multiply
    36,646x = 79,084 × 79,084
  4. Step 4: Simplify right side
    36,646x = 6,254,279,056
  5. Step 5: Solve for x
    x = 6,254,279,056/36,646
  6. Step 6: Final answer
    x = 170,667.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.