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Finding the Third Proportional to 3,936.19 and 5,503.03

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Solution

The third proportional to 3,936.19 and 5,503.03 is: 7,693.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,936.19 : 5,503.03 = 5,503.03 : x
  2. Step 2: Convert to fraction form
    3,936.19/5,503.03 = 5,503.03/x
  3. Step 3: Cross multiply
    3,936.19x = 5,503.03 × 5,503.03
  4. Step 4: Simplify right side
    3,936.19x = 30,283,352.94
  5. Step 5: Solve for x
    x = 30,283,352.94/3,936.19
  6. Step 6: Final answer
    x = 7,693.57

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.