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Finding the Third Proportional to 20,713 and 32,131

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Solution

The third proportional to 20,713 and 32,131 is: 49,843.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,713 : 32,131 = 32,131 : x
  2. Step 2: Convert to fraction form
    20,713/32,131 = 32,131/x
  3. Step 3: Cross multiply
    20,713x = 32,131 × 32,131
  4. Step 4: Simplify right side
    20,713x = 1,032,401,161
  5. Step 5: Solve for x
    x = 1,032,401,161/20,713
  6. Step 6: Final answer
    x = 49,843.15

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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.