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Finding the Third Proportional to 3,682.97 and 5,349.80

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Solution

The third proportional to 3,682.97 and 5,349.80 is: 7,770.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.97 : 5,349.80 = 5,349.80 : x
  2. Step 2: Convert to fraction form
    3,682.97/5,349.80 = 5,349.80/x
  3. Step 3: Cross multiply
    3,682.97x = 5,349.80 × 5,349.80
  4. Step 4: Simplify right side
    3,682.97x = 28,620,326.60
  5. Step 5: Solve for x
    x = 28,620,326.60/3,682.97
  6. Step 6: Final answer
    x = 7,770.99

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.