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Finding the Third Proportional to 20,996 and 32,052

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Solution

The third proportional to 20,996 and 32,052 is: 48,929.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,996 : 32,052 = 32,052 : x
  2. Step 2: Convert to fraction form
    20,996/32,052 = 32,052/x
  3. Step 3: Cross multiply
    20,996x = 32,052 × 32,052
  4. Step 4: Simplify right side
    20,996x = 1,027,330,704
  5. Step 5: Solve for x
    x = 1,027,330,704/20,996
  6. Step 6: Final answer
    x = 48,929.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.