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Finding the Third Proportional to 8,682.75 and 18,711

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Solution

The third proportional to 8,682.75 and 18,711 is: 40,321.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,682.75 : 18,711 = 18,711 : x
  2. Step 2: Convert to fraction form
    8,682.75/18,711 = 18,711/x
  3. Step 3: Cross multiply
    8,682.75x = 18,711 × 18,711
  4. Step 4: Simplify right side
    8,682.75x = 350,101,521
  5. Step 5: Solve for x
    x = 350,101,521/8,682.75
  6. Step 6: Final answer
    x = 40,321.50

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.