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Finding the Third Proportional to 3,753 and 8,141.75

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Solution

The third proportional to 3,753 and 8,141.75 is: 17,662.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753 : 8,141.75 = 8,141.75 : x
  2. Step 2: Convert to fraction form
    3,753/8,141.75 = 8,141.75/x
  3. Step 3: Cross multiply
    3,753x = 8,141.75 × 8,141.75
  4. Step 4: Simplify right side
    3,753x = 66,288,093.06
  5. Step 5: Solve for x
    x = 66,288,093.06/3,753
  6. Step 6: Final answer
    x = 17,662.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.