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Finding the Third Proportional to 4,179.09 and 9,850.36

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Solution

The third proportional to 4,179.09 and 9,850.36 is: 23,217.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,179.09 : 9,850.36 = 9,850.36 : x
  2. Step 2: Convert to fraction form
    4,179.09/9,850.36 = 9,850.36/x
  3. Step 3: Cross multiply
    4,179.09x = 9,850.36 × 9,850.36
  4. Step 4: Simplify right side
    4,179.09x = 97,029,579.82
  5. Step 5: Solve for x
    x = 97,029,579.82/4,179.09
  6. Step 6: Final answer
    x = 23,217.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.