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Finding the Third Proportional to 27,744.75 and 61,013.25

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Solution

The third proportional to 27,744.75 and 61,013.25 is: 134,173.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,744.75 : 61,013.25 = 61,013.25 : x
  2. Step 2: Convert to fraction form
    27,744.75/61,013.25 = 61,013.25/x
  3. Step 3: Cross multiply
    27,744.75x = 61,013.25 × 61,013.25
  4. Step 4: Simplify right side
    27,744.75x = 3,722,616,675.56
  5. Step 5: Solve for x
    x = 3,722,616,675.56/27,744.75
  6. Step 6: Final answer
    x = 134,173.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.