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Finding the Third Proportional to 3,957.75 and 8,543.25

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Solution

The third proportional to 3,957.75 and 8,543.25 is: 18,441.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.75 : 8,543.25 = 8,543.25 : x
  2. Step 2: Convert to fraction form
    3,957.75/8,543.25 = 8,543.25/x
  3. Step 3: Cross multiply
    3,957.75x = 8,543.25 × 8,543.25
  4. Step 4: Simplify right side
    3,957.75x = 72,987,120.56
  5. Step 5: Solve for x
    x = 72,987,120.56/3,957.75
  6. Step 6: Final answer
    x = 18,441.57

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.