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Finding the Third Proportional to 36,353 and 79,285

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Solution

The third proportional to 36,353 and 79,285 is: 172,918.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,353 : 79,285 = 79,285 : x
  2. Step 2: Convert to fraction form
    36,353/79,285 = 79,285/x
  3. Step 3: Cross multiply
    36,353x = 79,285 × 79,285
  4. Step 4: Simplify right side
    36,353x = 6,286,111,225
  5. Step 5: Solve for x
    x = 6,286,111,225/36,353
  6. Step 6: Final answer
    x = 172,918.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.