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Finding the Third Proportional to 34,846.88 and 74,189.25

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Solution

The third proportional to 34,846.88 and 74,189.25 is: 157,949.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,846.88 : 74,189.25 = 74,189.25 : x
  2. Step 2: Convert to fraction form
    34,846.88/74,189.25 = 74,189.25/x
  3. Step 3: Cross multiply
    34,846.88x = 74,189.25 × 74,189.25
  4. Step 4: Simplify right side
    34,846.88x = 5,504,044,815.56
  5. Step 5: Solve for x
    x = 5,504,044,815.56/34,846.88
  6. Step 6: Final answer
    x = 157,949.45

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.