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Finding the Third Proportional to 32,722 and 50,739

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Solution

The third proportional to 32,722 and 50,739 is: 78,676.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,722 : 50,739 = 50,739 : x
  2. Step 2: Convert to fraction form
    32,722/50,739 = 50,739/x
  3. Step 3: Cross multiply
    32,722x = 50,739 × 50,739
  4. Step 4: Simplify right side
    32,722x = 2,574,446,121
  5. Step 5: Solve for x
    x = 2,574,446,121/32,722
  6. Step 6: Final answer
    x = 78,676.31

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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.