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Finding the Third Proportional to 20,999.25 and 32,107.50

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Solution

The third proportional to 20,999.25 and 32,107.50 is: 49,091.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,999.25 : 32,107.50 = 32,107.50 : x
  2. Step 2: Convert to fraction form
    20,999.25/32,107.50 = 32,107.50/x
  3. Step 3: Cross multiply
    20,999.25x = 32,107.50 × 32,107.50
  4. Step 4: Simplify right side
    20,999.25x = 1,030,891,556.25
  5. Step 5: Solve for x
    x = 1,030,891,556.25/20,999.25
  6. Step 6: Final answer
    x = 49,091.83

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.