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Finding the Third Proportional to 12,325 and 27,105

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Solution

The third proportional to 12,325 and 27,105 is: 59,609.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,325 : 27,105 = 27,105 : x
  2. Step 2: Convert to fraction form
    12,325/27,105 = 27,105/x
  3. Step 3: Cross multiply
    12,325x = 27,105 × 27,105
  4. Step 4: Simplify right side
    12,325x = 734,681,025
  5. Step 5: Solve for x
    x = 734,681,025/12,325
  6. Step 6: Final answer
    x = 59,609.01

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.