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Finding the Third Proportional to 36,999.75 and 79,912.50

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Solution

The third proportional to 36,999.75 and 79,912.50 is: 172,595.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,999.75 : 79,912.50 = 79,912.50 : x
  2. Step 2: Convert to fraction form
    36,999.75/79,912.50 = 79,912.50/x
  3. Step 3: Cross multiply
    36,999.75x = 79,912.50 × 79,912.50
  4. Step 4: Simplify right side
    36,999.75x = 6,386,007,656.25
  5. Step 5: Solve for x
    x = 6,386,007,656.25/36,999.75
  6. Step 6: Final answer
    x = 172,595.97

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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.