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Finding the Third Proportional to 34,760.25 and 75,891.75

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Solution

The third proportional to 34,760.25 and 75,891.75 is: 165,693.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,760.25 : 75,891.75 = 75,891.75 : x
  2. Step 2: Convert to fraction form
    34,760.25/75,891.75 = 75,891.75/x
  3. Step 3: Cross multiply
    34,760.25x = 75,891.75 × 75,891.75
  4. Step 4: Simplify right side
    34,760.25x = 5,759,557,718.06
  5. Step 5: Solve for x
    x = 5,759,557,718.06/34,760.25
  6. Step 6: Final answer
    x = 165,693.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.