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Finding the Third Proportional to 27,240 and 57,234

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Solution

The third proportional to 27,240 and 57,234 is: 120,254.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,240 : 57,234 = 57,234 : x
  2. Step 2: Convert to fraction form
    27,240/57,234 = 57,234/x
  3. Step 3: Cross multiply
    27,240x = 57,234 × 57,234
  4. Step 4: Simplify right side
    27,240x = 3,275,730,756
  5. Step 5: Solve for x
    x = 3,275,730,756/27,240
  6. Step 6: Final answer
    x = 120,254.43

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.