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Finding the Third Proportional to 20,282 and 30,857

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Solution

The third proportional to 20,282 and 30,857 is: 46,945.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,282 : 30,857 = 30,857 : x
  2. Step 2: Convert to fraction form
    20,282/30,857 = 30,857/x
  3. Step 3: Cross multiply
    20,282x = 30,857 × 30,857
  4. Step 4: Simplify right side
    20,282x = 952,154,449
  5. Step 5: Solve for x
    x = 952,154,449/20,282
  6. Step 6: Final answer
    x = 46,945.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.