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Finding the Third Proportional to 3,353.63 and 5,190.75

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Solution

The third proportional to 3,353.63 and 5,190.75 is: 8,034.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,353.63 : 5,190.75 = 5,190.75 : x
  2. Step 2: Convert to fraction form
    3,353.63/5,190.75 = 5,190.75/x
  3. Step 3: Cross multiply
    3,353.63x = 5,190.75 × 5,190.75
  4. Step 4: Simplify right side
    3,353.63x = 26,943,885.56
  5. Step 5: Solve for x
    x = 26,943,885.56/3,353.63
  6. Step 6: Final answer
    x = 8,034.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.