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Finding the Third Proportional to 4,201.36 and 9,091.85

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Solution

The third proportional to 4,201.36 and 9,091.85 is: 19,675.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.36 : 9,091.85 = 9,091.85 : x
  2. Step 2: Convert to fraction form
    4,201.36/9,091.85 = 9,091.85/x
  3. Step 3: Cross multiply
    4,201.36x = 9,091.85 × 9,091.85
  4. Step 4: Simplify right side
    4,201.36x = 82,661,818.11
  5. Step 5: Solve for x
    x = 82,661,818.11/4,201.36
  6. Step 6: Final answer
    x = 19,675.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.