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Finding the Third Proportional to 3,744 and 7,845.75

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Solution

The third proportional to 3,744 and 7,845.75 is: 16,441.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744 : 7,845.75 = 7,845.75 : x
  2. Step 2: Convert to fraction form
    3,744/7,845.75 = 7,845.75/x
  3. Step 3: Cross multiply
    3,744x = 7,845.75 × 7,845.75
  4. Step 4: Simplify right side
    3,744x = 61,555,793.06
  5. Step 5: Solve for x
    x = 61,555,793.06/3,744
  6. Step 6: Final answer
    x = 16,441.18

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.