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Finding the Third Proportional to 3,525.94 and 8,353.75

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Solution

The third proportional to 3,525.94 and 8,353.75 is: 19,791.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,525.94 : 8,353.75 = 8,353.75 : x
  2. Step 2: Convert to fraction form
    3,525.94/8,353.75 = 8,353.75/x
  3. Step 3: Cross multiply
    3,525.94x = 8,353.75 × 8,353.75
  4. Step 4: Simplify right side
    3,525.94x = 69,785,139.06
  5. Step 5: Solve for x
    x = 69,785,139.06/3,525.94
  6. Step 6: Final answer
    x = 19,791.94

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.