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Finding the Third Proportional to 36,462 and 79,485

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Solution

The third proportional to 36,462 and 79,485 is: 173,272.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,462 : 79,485 = 79,485 : x
  2. Step 2: Convert to fraction form
    36,462/79,485 = 79,485/x
  3. Step 3: Cross multiply
    36,462x = 79,485 × 79,485
  4. Step 4: Simplify right side
    36,462x = 6,317,865,225
  5. Step 5: Solve for x
    x = 6,317,865,225/36,462
  6. Step 6: Final answer
    x = 173,272.59

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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.