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Finding the Third Proportional to 3,817.88 and 8,051.44

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Solution

The third proportional to 3,817.88 and 8,051.44 is: 16,979.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.88 : 8,051.44 = 8,051.44 : x
  2. Step 2: Convert to fraction form
    3,817.88/8,051.44 = 8,051.44/x
  3. Step 3: Cross multiply
    3,817.88x = 8,051.44 × 8,051.44
  4. Step 4: Simplify right side
    3,817.88x = 64,825,645.82
  5. Step 5: Solve for x
    x = 64,825,645.82/3,817.88
  6. Step 6: Final answer
    x = 16,979.51

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.