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Finding the Third Proportional to 20,451 and 30,003

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Solution

The third proportional to 20,451 and 30,003 is: 44,016.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,451 : 30,003 = 30,003 : x
  2. Step 2: Convert to fraction form
    20,451/30,003 = 30,003/x
  3. Step 3: Cross multiply
    20,451x = 30,003 × 30,003
  4. Step 4: Simplify right side
    20,451x = 900,180,009
  5. Step 5: Solve for x
    x = 900,180,009/20,451
  6. Step 6: Final answer
    x = 44,016.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.