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Finding the Third Proportional to 32,733 and 50,050

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Solution

The third proportional to 32,733 and 50,050 is: 76,528.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,733 : 50,050 = 50,050 : x
  2. Step 2: Convert to fraction form
    32,733/50,050 = 50,050/x
  3. Step 3: Cross multiply
    32,733x = 50,050 × 50,050
  4. Step 4: Simplify right side
    32,733x = 2,505,002,500
  5. Step 5: Solve for x
    x = 2,505,002,500/32,733
  6. Step 6: Final answer
    x = 76,528.35

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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.