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Finding the Third Proportional to 3,606.75 and 5,245.88

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Solution

The third proportional to 3,606.75 and 5,245.88 is: 7,629.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.75 : 5,245.88 = 5,245.88 : x
  2. Step 2: Convert to fraction form
    3,606.75/5,245.88 = 5,245.88/x
  3. Step 3: Cross multiply
    3,606.75x = 5,245.88 × 5,245.88
  4. Step 4: Simplify right side
    3,606.75x = 27,519,204.52
  5. Step 5: Solve for x
    x = 27,519,204.52/3,606.75
  6. Step 6: Final answer
    x = 7,629.92

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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.