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Finding the Third Proportional to 20,143 and 31,995

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Solution

The third proportional to 20,143 and 31,995 is: 50,820.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,143 : 31,995 = 31,995 : x
  2. Step 2: Convert to fraction form
    20,143/31,995 = 31,995/x
  3. Step 3: Cross multiply
    20,143x = 31,995 × 31,995
  4. Step 4: Simplify right side
    20,143x = 1,023,680,025
  5. Step 5: Solve for x
    x = 1,023,680,025/20,143
  6. Step 6: Final answer
    x = 50,820.63

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.