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Finding the Third Proportional to 4,021.88 and 8,151.75

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Solution

The third proportional to 4,021.88 and 8,151.75 is: 16,522.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,021.88 : 8,151.75 = 8,151.75 : x
  2. Step 2: Convert to fraction form
    4,021.88/8,151.75 = 8,151.75/x
  3. Step 3: Cross multiply
    4,021.88x = 8,151.75 × 8,151.75
  4. Step 4: Simplify right side
    4,021.88x = 66,451,028.06
  5. Step 5: Solve for x
    x = 66,451,028.06/4,021.88
  6. Step 6: Final answer
    x = 16,522.40

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.