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Finding the Third Proportional to 20,500.50 and 30,021.75

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Solution

The third proportional to 20,500.50 and 30,021.75 is: 43,965.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,500.50 : 30,021.75 = 30,021.75 : x
  2. Step 2: Convert to fraction form
    20,500.50/30,021.75 = 30,021.75/x
  3. Step 3: Cross multiply
    20,500.50x = 30,021.75 × 30,021.75
  4. Step 4: Simplify right side
    20,500.50x = 901,305,473.06
  5. Step 5: Solve for x
    x = 901,305,473.06/20,500.50
  6. Step 6: Final answer
    x = 43,965.05

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.