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Finding the Third Proportional to 27,840 and 57,615

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Solution

The third proportional to 27,840 and 57,615 is: 119,234.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,840 : 57,615 = 57,615 : x
  2. Step 2: Convert to fraction form
    27,840/57,615 = 57,615/x
  3. Step 3: Cross multiply
    27,840x = 57,615 × 57,615
  4. Step 4: Simplify right side
    27,840x = 3,319,488,225
  5. Step 5: Solve for x
    x = 3,319,488,225/27,840
  6. Step 6: Final answer
    x = 119,234.49

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.