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Finding the Third Proportional to 17,100 and 27,396

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Solution

The third proportional to 17,100 and 27,396 is: 43,891.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,100 : 27,396 = 27,396 : x
  2. Step 2: Convert to fraction form
    17,100/27,396 = 27,396/x
  3. Step 3: Cross multiply
    17,100x = 27,396 × 27,396
  4. Step 4: Simplify right side
    17,100x = 750,540,816
  5. Step 5: Solve for x
    x = 750,540,816/17,100
  6. Step 6: Final answer
    x = 43,891.28

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.