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Finding the Third Proportional to 8,282.81 and 17,976.94

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Solution

The third proportional to 8,282.81 and 17,976.94 is: 39,016.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.81 : 17,976.94 = 17,976.94 : x
  2. Step 2: Convert to fraction form
    8,282.81/17,976.94 = 17,976.94/x
  3. Step 3: Cross multiply
    8,282.81x = 17,976.94 × 17,976.94
  4. Step 4: Simplify right side
    8,282.81x = 323,170,281.88
  5. Step 5: Solve for x
    x = 323,170,281.88/8,282.81
  6. Step 6: Final answer
    x = 39,016.97

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