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Finding the Third Proportional to 20,652 and 32,050

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Solution

The third proportional to 20,652 and 32,050 is: 49,738.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,652 : 32,050 = 32,050 : x
  2. Step 2: Convert to fraction form
    20,652/32,050 = 32,050/x
  3. Step 3: Cross multiply
    20,652x = 32,050 × 32,050
  4. Step 4: Simplify right side
    20,652x = 1,027,202,500
  5. Step 5: Solve for x
    x = 1,027,202,500/20,652
  6. Step 6: Final answer
    x = 49,738.65

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Why These Related Problems?

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