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Finding the Third Proportional to 17,685.84 and 27,604.97

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Solution

The third proportional to 17,685.84 and 27,604.97 is: 43,087.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,685.84 : 27,604.97 = 27,604.97 : x
  2. Step 2: Convert to fraction form
    17,685.84/27,604.97 = 27,604.97/x
  3. Step 3: Cross multiply
    17,685.84x = 27,604.97 × 27,604.97
  4. Step 4: Simplify right side
    17,685.84x = 762,034,299.69
  5. Step 5: Solve for x
    x = 762,034,299.69/17,685.84
  6. Step 6: Final answer
    x = 43,087.25

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.