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Finding the Third Proportional to 12,979.50 and 30,396.75

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Solution

The third proportional to 12,979.50 and 30,396.75 is: 71,186.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,979.50 : 30,396.75 = 30,396.75 : x
  2. Step 2: Convert to fraction form
    12,979.50/30,396.75 = 30,396.75/x
  3. Step 3: Cross multiply
    12,979.50x = 30,396.75 × 30,396.75
  4. Step 4: Simplify right side
    12,979.50x = 923,962,410.56
  5. Step 5: Solve for x
    x = 923,962,410.56/12,979.50
  6. Step 6: Final answer
    x = 71,186.29

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.