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Finding the Third Proportional to 27,874 and 56,468

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Solution

The third proportional to 27,874 and 56,468 is: 114,394.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,874 : 56,468 = 56,468 : x
  2. Step 2: Convert to fraction form
    27,874/56,468 = 56,468/x
  3. Step 3: Cross multiply
    27,874x = 56,468 × 56,468
  4. Step 4: Simplify right side
    27,874x = 3,188,635,024
  5. Step 5: Solve for x
    x = 3,188,635,024/27,874
  6. Step 6: Final answer
    x = 114,394.60

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.