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Finding the Third Proportional to 17,962.31 and 27,194.06

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Solution

The third proportional to 17,962.31 and 27,194.06 is: 41,170.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,962.31 : 27,194.06 = 27,194.06 : x
  2. Step 2: Convert to fraction form
    17,962.31/27,194.06 = 27,194.06/x
  3. Step 3: Cross multiply
    17,962.31x = 27,194.06 × 27,194.06
  4. Step 4: Simplify right side
    17,962.31x = 739,517,035.25
  5. Step 5: Solve for x
    x = 739,517,035.25/17,962.31
  6. Step 6: Final answer
    x = 41,170.48

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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.