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Finding the Third Proportional to 20,451 and 30,983

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Solution

The third proportional to 20,451 and 30,983 is: 46,938.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,451 : 30,983 = 30,983 : x
  2. Step 2: Convert to fraction form
    20,451/30,983 = 30,983/x
  3. Step 3: Cross multiply
    20,451x = 30,983 × 30,983
  4. Step 4: Simplify right side
    20,451x = 959,946,289
  5. Step 5: Solve for x
    x = 959,946,289/20,451
  6. Step 6: Final answer
    x = 46,938.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.