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Finding the Third Proportional to 3,993.75 and 6,320.25

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Solution

The third proportional to 3,993.75 and 6,320.25 is: 10,002.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.75 : 6,320.25 = 6,320.25 : x
  2. Step 2: Convert to fraction form
    3,993.75/6,320.25 = 6,320.25/x
  3. Step 3: Cross multiply
    3,993.75x = 6,320.25 × 6,320.25
  4. Step 4: Simplify right side
    3,993.75x = 39,945,560.06
  5. Step 5: Solve for x
    x = 39,945,560.06/3,993.75
  6. Step 6: Final answer
    x = 10,002.02

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.