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Finding the Third Proportional to 27,169 and 57,288

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Solution

The third proportional to 27,169 and 57,288 is: 120,796.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,169 : 57,288 = 57,288 : x
  2. Step 2: Convert to fraction form
    27,169/57,288 = 57,288/x
  3. Step 3: Cross multiply
    27,169x = 57,288 × 57,288
  4. Step 4: Simplify right side
    27,169x = 3,281,914,944
  5. Step 5: Solve for x
    x = 3,281,914,944/27,169
  6. Step 6: Final answer
    x = 120,796.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.