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Finding the Third Proportional to 8,181.75 and 17,650.88

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Solution

The third proportional to 8,181.75 and 17,650.88 is: 38,079.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,181.75 : 17,650.88 = 17,650.88 : x
  2. Step 2: Convert to fraction form
    8,181.75/17,650.88 = 17,650.88/x
  3. Step 3: Cross multiply
    8,181.75x = 17,650.88 × 17,650.88
  4. Step 4: Simplify right side
    8,181.75x = 311,553,388.27
  5. Step 5: Solve for x
    x = 311,553,388.27/8,181.75
  6. Step 6: Final answer
    x = 38,079.06

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.