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Finding the Third Proportional to 27,745.75 and 39,259.75

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Solution

The third proportional to 27,745.75 and 39,259.75 is: 55,551.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,745.75 : 39,259.75 = 39,259.75 : x
  2. Step 2: Convert to fraction form
    27,745.75/39,259.75 = 39,259.75/x
  3. Step 3: Cross multiply
    27,745.75x = 39,259.75 × 39,259.75
  4. Step 4: Simplify right side
    27,745.75x = 1,541,327,970.06
  5. Step 5: Solve for x
    x = 1,541,327,970.06/27,745.75
  6. Step 6: Final answer
    x = 55,551.86

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.