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Finding the Third Proportional to 27,745.50 and 60,681

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Solution

The third proportional to 27,745.50 and 60,681 is: 132,712.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,745.50 : 60,681 = 60,681 : x
  2. Step 2: Convert to fraction form
    27,745.50/60,681 = 60,681/x
  3. Step 3: Cross multiply
    27,745.50x = 60,681 × 60,681
  4. Step 4: Simplify right side
    27,745.50x = 3,682,183,761
  5. Step 5: Solve for x
    x = 3,682,183,761/27,745.50
  6. Step 6: Final answer
    x = 132,712.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.