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Finding the Third Proportional to 20,857.50 and 32,015.25

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Solution

The third proportional to 20,857.50 and 32,015.25 is: 49,141.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,857.50 : 32,015.25 = 32,015.25 : x
  2. Step 2: Convert to fraction form
    20,857.50/32,015.25 = 32,015.25/x
  3. Step 3: Cross multiply
    20,857.50x = 32,015.25 × 32,015.25
  4. Step 4: Simplify right side
    20,857.50x = 1,024,976,232.56
  5. Step 5: Solve for x
    x = 1,024,976,232.56/20,857.50
  6. Step 6: Final answer
    x = 49,141.85

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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.