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Finding the Third Proportional to 27,180 and 55,128.38

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Solution

The third proportional to 27,180 and 55,128.38 is: 111,815.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,180 : 55,128.38 = 55,128.38 : x
  2. Step 2: Convert to fraction form
    27,180/55,128.38 = 55,128.38/x
  3. Step 3: Cross multiply
    27,180x = 55,128.38 × 55,128.38
  4. Step 4: Simplify right side
    27,180x = 3,039,137,730.14
  5. Step 5: Solve for x
    x = 3,039,137,730.14/27,180
  6. Step 6: Final answer
    x = 111,815.22

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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.