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Finding the Third Proportional to 36,999 and 79,906.50

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Solution

The third proportional to 36,999 and 79,906.50 is: 172,573.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,999 : 79,906.50 = 79,906.50 : x
  2. Step 2: Convert to fraction form
    36,999/79,906.50 = 79,906.50/x
  3. Step 3: Cross multiply
    36,999x = 79,906.50 × 79,906.50
  4. Step 4: Simplify right side
    36,999x = 6,385,048,742.25
  5. Step 5: Solve for x
    x = 6,385,048,742.25/36,999
  6. Step 6: Final answer
    x = 172,573.55

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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.