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Finding the Third Proportional to 20,857 and 32,344

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Solution

The third proportional to 20,857 and 32,344 is: 50,157.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,857 : 32,344 = 32,344 : x
  2. Step 2: Convert to fraction form
    20,857/32,344 = 32,344/x
  3. Step 3: Cross multiply
    20,857x = 32,344 × 32,344
  4. Step 4: Simplify right side
    20,857x = 1,046,134,336
  5. Step 5: Solve for x
    x = 1,046,134,336/20,857
  6. Step 6: Final answer
    x = 50,157.47

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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.