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Finding the Third Proportional to 27,615 and 57,495

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Solution

The third proportional to 27,615 and 57,495 is: 119,705.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,615 : 57,495 = 57,495 : x
  2. Step 2: Convert to fraction form
    27,615/57,495 = 57,495/x
  3. Step 3: Cross multiply
    27,615x = 57,495 × 57,495
  4. Step 4: Simplify right side
    27,615x = 3,305,675,025
  5. Step 5: Solve for x
    x = 3,305,675,025/27,615
  6. Step 6: Final answer
    x = 119,705.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.