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Finding the Third Proportional to 17,839.75 and 27,431.75

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Solution

The third proportional to 17,839.75 and 27,431.75 is: 42,181.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,839.75 : 27,431.75 = 27,431.75 : x
  2. Step 2: Convert to fraction form
    17,839.75/27,431.75 = 27,431.75/x
  3. Step 3: Cross multiply
    17,839.75x = 27,431.75 × 27,431.75
  4. Step 4: Simplify right side
    17,839.75x = 752,500,908.06
  5. Step 5: Solve for x
    x = 752,500,908.06/17,839.75
  6. Step 6: Final answer
    x = 42,181.14

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.