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Finding the Third Proportional to 5,181.75 and 13,933.13

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Solution

The third proportional to 5,181.75 and 13,933.13 is: 37,464.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,181.75 : 13,933.13 = 13,933.13 : x
  2. Step 2: Convert to fraction form
    5,181.75/13,933.13 = 13,933.13/x
  3. Step 3: Cross multiply
    5,181.75x = 13,933.13 × 13,933.13
  4. Step 4: Simplify right side
    5,181.75x = 194,131,972.27
  5. Step 5: Solve for x
    x = 194,131,972.27/5,181.75
  6. Step 6: Final answer
    x = 37,464.56

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.