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Finding the Third Proportional to 17,982 and 27,216

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Solution

The third proportional to 17,982 and 27,216 is: 41,191.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,982 : 27,216 = 27,216 : x
  2. Step 2: Convert to fraction form
    17,982/27,216 = 27,216/x
  3. Step 3: Cross multiply
    17,982x = 27,216 × 27,216
  4. Step 4: Simplify right side
    17,982x = 740,710,656
  5. Step 5: Solve for x
    x = 740,710,656/17,982
  6. Step 6: Final answer
    x = 41,191.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.