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Finding the Third Proportional to 27,180 and 56,052

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Solution

The third proportional to 27,180 and 56,052 is: 115,593.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,180 : 56,052 = 56,052 : x
  2. Step 2: Convert to fraction form
    27,180/56,052 = 56,052/x
  3. Step 3: Cross multiply
    27,180x = 56,052 × 56,052
  4. Step 4: Simplify right side
    27,180x = 3,141,826,704
  5. Step 5: Solve for x
    x = 3,141,826,704/27,180
  6. Step 6: Final answer
    x = 115,593.33

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.