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Finding the Third Proportional to 27,238 and 55,628

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Solution

The third proportional to 27,238 and 55,628 is: 113,608.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,238 : 55,628 = 55,628 : x
  2. Step 2: Convert to fraction form
    27,238/55,628 = 55,628/x
  3. Step 3: Cross multiply
    27,238x = 55,628 × 55,628
  4. Step 4: Simplify right side
    27,238x = 3,094,474,384
  5. Step 5: Solve for x
    x = 3,094,474,384/27,238
  6. Step 6: Final answer
    x = 113,608.72

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.