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Finding the Third Proportional to 3,843.75 and 6,035.25

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Solution

The third proportional to 3,843.75 and 6,035.25 is: 9,476.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.75 : 6,035.25 = 6,035.25 : x
  2. Step 2: Convert to fraction form
    3,843.75/6,035.25 = 6,035.25/x
  3. Step 3: Cross multiply
    3,843.75x = 6,035.25 × 6,035.25
  4. Step 4: Simplify right side
    3,843.75x = 36,424,242.56
  5. Step 5: Solve for x
    x = 36,424,242.56/3,843.75
  6. Step 6: Final answer
    x = 9,476.23

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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.