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Finding the Third Proportional to 27,027 and 59,115

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Solution

The third proportional to 27,027 and 59,115 is: 129,299.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,027 : 59,115 = 59,115 : x
  2. Step 2: Convert to fraction form
    27,027/59,115 = 59,115/x
  3. Step 3: Cross multiply
    27,027x = 59,115 × 59,115
  4. Step 4: Simplify right side
    27,027x = 3,494,583,225
  5. Step 5: Solve for x
    x = 3,494,583,225/27,027
  6. Step 6: Final answer
    x = 129,299.71

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Why These Related Problems?

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