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Finding the Third Proportional to 29,544.75 and 68,326.03

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Solution

The third proportional to 29,544.75 and 68,326.03 is: 158,012.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,544.75 : 68,326.03 = 68,326.03 : x
  2. Step 2: Convert to fraction form
    29,544.75/68,326.03 = 68,326.03/x
  3. Step 3: Cross multiply
    29,544.75x = 68,326.03 × 68,326.03
  4. Step 4: Simplify right side
    29,544.75x = 4,668,446,546.38
  5. Step 5: Solve for x
    x = 4,668,446,546.38/29,544.75
  6. Step 6: Final answer
    x = 158,012.73

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.