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Finding the Third Proportional to 7,958.25 and 12,119.63

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Solution

The third proportional to 7,958.25 and 12,119.63 is: 18,456.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,958.25 : 12,119.63 = 12,119.63 : x
  2. Step 2: Convert to fraction form
    7,958.25/12,119.63 = 12,119.63/x
  3. Step 3: Cross multiply
    7,958.25x = 12,119.63 × 12,119.63
  4. Step 4: Simplify right side
    7,958.25x = 146,885,310.14
  5. Step 5: Solve for x
    x = 146,885,310.14/7,958.25
  6. Step 6: Final answer
    x = 18,456.99

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.