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Finding the Third Proportional to 3,845 and 8,442.50

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Solution

The third proportional to 3,845 and 8,442.50 is: 18,537.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845 : 8,442.50 = 8,442.50 : x
  2. Step 2: Convert to fraction form
    3,845/8,442.50 = 8,442.50/x
  3. Step 3: Cross multiply
    3,845x = 8,442.50 × 8,442.50
  4. Step 4: Simplify right side
    3,845x = 71,275,806.25
  5. Step 5: Solve for x
    x = 71,275,806.25/3,845
  6. Step 6: Final answer
    x = 18,537.27

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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.