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Finding the Third Proportional to 27,150 and 55,632

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Solution

The third proportional to 27,150 and 55,632 is: 113,993.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,150 : 55,632 = 55,632 : x
  2. Step 2: Convert to fraction form
    27,150/55,632 = 55,632/x
  3. Step 3: Cross multiply
    27,150x = 55,632 × 55,632
  4. Step 4: Simplify right side
    27,150x = 3,094,919,424
  5. Step 5: Solve for x
    x = 3,094,919,424/27,150
  6. Step 6: Final answer
    x = 113,993.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.