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Finding the Third Proportional to 3,728.25 and 5,775.75

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Solution

The third proportional to 3,728.25 and 5,775.75 is: 8,947.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.25 : 5,775.75 = 5,775.75 : x
  2. Step 2: Convert to fraction form
    3,728.25/5,775.75 = 5,775.75/x
  3. Step 3: Cross multiply
    3,728.25x = 5,775.75 × 5,775.75
  4. Step 4: Simplify right side
    3,728.25x = 33,359,288.06
  5. Step 5: Solve for x
    x = 33,359,288.06/3,728.25
  6. Step 6: Final answer
    x = 8,947.71

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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.