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Finding the Third Proportional to 3,399.75 and 5,200.59

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Solution

The third proportional to 3,399.75 and 5,200.59 is: 7,955.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,399.75 : 5,200.59 = 5,200.59 : x
  2. Step 2: Convert to fraction form
    3,399.75/5,200.59 = 5,200.59/x
  3. Step 3: Cross multiply
    3,399.75x = 5,200.59 × 5,200.59
  4. Step 4: Simplify right side
    3,399.75x = 27,046,175.35
  5. Step 5: Solve for x
    x = 27,046,175.35/3,399.75
  6. Step 6: Final answer
    x = 7,955.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.