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Finding the Third Proportional to 8,451 and 20,007

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Solution

The third proportional to 8,451 and 20,007 is: 47,364.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,451 : 20,007 = 20,007 : x
  2. Step 2: Convert to fraction form
    8,451/20,007 = 20,007/x
  3. Step 3: Cross multiply
    8,451x = 20,007 × 20,007
  4. Step 4: Simplify right side
    8,451x = 400,280,049
  5. Step 5: Solve for x
    x = 400,280,049/8,451
  6. Step 6: Final answer
    x = 47,364.81

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.