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Finding the Third Proportional to 3,995.25 and 6,254.25

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Solution

The third proportional to 3,995.25 and 6,254.25 is: 9,790.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,995.25 : 6,254.25 = 6,254.25 : x
  2. Step 2: Convert to fraction form
    3,995.25/6,254.25 = 6,254.25/x
  3. Step 3: Cross multiply
    3,995.25x = 6,254.25 × 6,254.25
  4. Step 4: Simplify right side
    3,995.25x = 39,115,643.06
  5. Step 5: Solve for x
    x = 39,115,643.06/3,995.25
  6. Step 6: Final answer
    x = 9,790.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.