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Finding the Third Proportional to 36,825 and 79,099.88

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Solution

The third proportional to 36,825 and 79,099.88 is: 169,906.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,825 : 79,099.88 = 79,099.88 : x
  2. Step 2: Convert to fraction form
    36,825/79,099.88 = 79,099.88/x
  3. Step 3: Cross multiply
    36,825x = 79,099.88 × 79,099.88
  4. Step 4: Simplify right side
    36,825x = 6,256,790,225.02
  5. Step 5: Solve for x
    x = 6,256,790,225.02/36,825
  6. Step 6: Final answer
    x = 169,906.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.