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Finding the Third Proportional to 36,633.75 and 93,771.75

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Solution

The third proportional to 36,633.75 and 93,771.75 is: 240,028.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,633.75 : 93,771.75 = 93,771.75 : x
  2. Step 2: Convert to fraction form
    36,633.75/93,771.75 = 93,771.75/x
  3. Step 3: Cross multiply
    36,633.75x = 93,771.75 × 93,771.75
  4. Step 4: Simplify right side
    36,633.75x = 8,793,141,098.06
  5. Step 5: Solve for x
    x = 8,793,141,098.06/36,633.75
  6. Step 6: Final answer
    x = 240,028.42

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These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.