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Finding the Third Proportional to 3,913.88 and 8,151.19

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Solution

The third proportional to 3,913.88 and 8,151.19 is: 16,975.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913.88 : 8,151.19 = 8,151.19 : x
  2. Step 2: Convert to fraction form
    3,913.88/8,151.19 = 8,151.19/x
  3. Step 3: Cross multiply
    3,913.88x = 8,151.19 × 8,151.19
  4. Step 4: Simplify right side
    3,913.88x = 66,441,857.66
  5. Step 5: Solve for x
    x = 66,441,857.66/3,913.88
  6. Step 6: Final answer
    x = 16,975.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.