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Finding the Third Proportional to 3,207.94 and 5,563.69

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Solution

The third proportional to 3,207.94 and 5,563.69 is: 9,649.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.94 : 5,563.69 = 5,563.69 : x
  2. Step 2: Convert to fraction form
    3,207.94/5,563.69 = 5,563.69/x
  3. Step 3: Cross multiply
    3,207.94x = 5,563.69 × 5,563.69
  4. Step 4: Simplify right side
    3,207.94x = 30,954,618.60
  5. Step 5: Solve for x
    x = 30,954,618.60/3,207.94
  6. Step 6: Final answer
    x = 9,649.38

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.