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Finding the Third Proportional to 3,888.75 and 8,567.25

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Solution

The third proportional to 3,888.75 and 8,567.25 is: 18,874.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.75 : 8,567.25 = 8,567.25 : x
  2. Step 2: Convert to fraction form
    3,888.75/8,567.25 = 8,567.25/x
  3. Step 3: Cross multiply
    3,888.75x = 8,567.25 × 8,567.25
  4. Step 4: Simplify right side
    3,888.75x = 73,397,772.56
  5. Step 5: Solve for x
    x = 73,397,772.56/3,888.75
  6. Step 6: Final answer
    x = 18,874.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.