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Finding the Third Proportional to 3,881 and 5,545.25

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Solution

The third proportional to 3,881 and 5,545.25 is: 7,923.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881 : 5,545.25 = 5,545.25 : x
  2. Step 2: Convert to fraction form
    3,881/5,545.25 = 5,545.25/x
  3. Step 3: Cross multiply
    3,881x = 5,545.25 × 5,545.25
  4. Step 4: Simplify right side
    3,881x = 30,749,797.56
  5. Step 5: Solve for x
    x = 30,749,797.56/3,881
  6. Step 6: Final answer
    x = 7,923.16

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.