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Finding the Third Proportional to 20,649.09 and 32,819.77

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Solution

The third proportional to 20,649.09 and 32,819.77 is: 52,163.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,649.09 : 32,819.77 = 32,819.77 : x
  2. Step 2: Convert to fraction form
    20,649.09/32,819.77 = 32,819.77/x
  3. Step 3: Cross multiply
    20,649.09x = 32,819.77 × 32,819.77
  4. Step 4: Simplify right side
    20,649.09x = 1,077,137,015.68
  5. Step 5: Solve for x
    x = 1,077,137,015.68/20,649.09
  6. Step 6: Final answer
    x = 52,163.89

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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.