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Finding the Third Proportional to 27,114 and 57,684

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Solution

The third proportional to 27,114 and 57,684 is: 122,720.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,114 : 57,684 = 57,684 : x
  2. Step 2: Convert to fraction form
    27,114/57,684 = 57,684/x
  3. Step 3: Cross multiply
    27,114x = 57,684 × 57,684
  4. Step 4: Simplify right side
    27,114x = 3,327,443,856
  5. Step 5: Solve for x
    x = 3,327,443,856/27,114
  6. Step 6: Final answer
    x = 122,720.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.