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Finding the Third Proportional to 3,957.75 and 8,462.25

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Solution

The third proportional to 3,957.75 and 8,462.25 is: 18,093.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.75 : 8,462.25 = 8,462.25 : x
  2. Step 2: Convert to fraction form
    3,957.75/8,462.25 = 8,462.25/x
  3. Step 3: Cross multiply
    3,957.75x = 8,462.25 × 8,462.25
  4. Step 4: Simplify right side
    3,957.75x = 71,609,675.06
  5. Step 5: Solve for x
    x = 71,609,675.06/3,957.75
  6. Step 6: Final answer
    x = 18,093.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.