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Finding the Third Proportional to 20,996 and 32,504

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Solution

The third proportional to 20,996 and 32,504 is: 50,319.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,996 : 32,504 = 32,504 : x
  2. Step 2: Convert to fraction form
    20,996/32,504 = 32,504/x
  3. Step 3: Cross multiply
    20,996x = 32,504 × 32,504
  4. Step 4: Simplify right side
    20,996x = 1,056,510,016
  5. Step 5: Solve for x
    x = 1,056,510,016/20,996
  6. Step 6: Final answer
    x = 50,319.59

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.