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Finding the Third Proportional to 9,181.69 and 19,593.56

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Solution

The third proportional to 9,181.69 and 19,593.56 is: 41,812.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,181.69 : 19,593.56 = 19,593.56 : x
  2. Step 2: Convert to fraction form
    9,181.69/19,593.56 = 19,593.56/x
  3. Step 3: Cross multiply
    9,181.69x = 19,593.56 × 19,593.56
  4. Step 4: Simplify right side
    9,181.69x = 383,907,691.44
  5. Step 5: Solve for x
    x = 383,907,691.44/9,181.69
  6. Step 6: Final answer
    x = 41,812.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.