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Finding the Third Proportional to 36,736 and 79,486

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Solution

The third proportional to 36,736 and 79,486 is: 171,984.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,736 : 79,486 = 79,486 : x
  2. Step 2: Convert to fraction form
    36,736/79,486 = 79,486/x
  3. Step 3: Cross multiply
    36,736x = 79,486 × 79,486
  4. Step 4: Simplify right side
    36,736x = 6,318,024,196
  5. Step 5: Solve for x
    x = 6,318,024,196/36,736
  6. Step 6: Final answer
    x = 171,984.54

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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.