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Finding the Third Proportional to 20,219 and 32,050

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Solution

The third proportional to 20,219 and 32,050 is: 50,803.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,219 : 32,050 = 32,050 : x
  2. Step 2: Convert to fraction form
    20,219/32,050 = 32,050/x
  3. Step 3: Cross multiply
    20,219x = 32,050 × 32,050
  4. Step 4: Simplify right side
    20,219x = 1,027,202,500
  5. Step 5: Solve for x
    x = 1,027,202,500/20,219
  6. Step 6: Final answer
    x = 50,803.82

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.