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Finding the Third Proportional to 34,757.44 and 76,282.59

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Solution

The third proportional to 34,757.44 and 76,282.59 is: 167,418.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,757.44 : 76,282.59 = 76,282.59 : x
  2. Step 2: Convert to fraction form
    34,757.44/76,282.59 = 76,282.59/x
  3. Step 3: Cross multiply
    34,757.44x = 76,282.59 × 76,282.59
  4. Step 4: Simplify right side
    34,757.44x = 5,819,034,109.23
  5. Step 5: Solve for x
    x = 5,819,034,109.23/34,757.44
  6. Step 6: Final answer
    x = 167,418.39

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.