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Finding the Third Proportional to 8,216.75 and 17,988.33

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Solution

The third proportional to 8,216.75 and 17,988.33 is: 39,380.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.75 : 17,988.33 = 17,988.33 : x
  2. Step 2: Convert to fraction form
    8,216.75/17,988.33 = 17,988.33/x
  3. Step 3: Cross multiply
    8,216.75x = 17,988.33 × 17,988.33
  4. Step 4: Simplify right side
    8,216.75x = 323,579,948.73
  5. Step 5: Solve for x
    x = 323,579,948.73/8,216.75
  6. Step 6: Final answer
    x = 39,380.51

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.