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Finding the Third Proportional to 859.06 and 1,839.56

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Solution

The third proportional to 859.06 and 1,839.56 is: 3,939.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.06 : 1,839.56 = 1,839.56 : x
  2. Step 2: Convert to fraction form
    859.06/1,839.56 = 1,839.56/x
  3. Step 3: Cross multiply
    859.06x = 1,839.56 × 1,839.56
  4. Step 4: Simplify right side
    859.06x = 3,383,990.19
  5. Step 5: Solve for x
    x = 3,383,990.19/859.06
  6. Step 6: Final answer
    x = 3,939.17

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.