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Finding the Third Proportional to 21,367 and 32,050

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Solution

The third proportional to 21,367 and 32,050 is: 48,074.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,367 : 32,050 = 32,050 : x
  2. Step 2: Convert to fraction form
    21,367/32,050 = 32,050/x
  3. Step 3: Cross multiply
    21,367x = 32,050 × 32,050
  4. Step 4: Simplify right side
    21,367x = 1,027,202,500
  5. Step 5: Solve for x
    x = 1,027,202,500/21,367
  6. Step 6: Final answer
    x = 48,074.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.