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Finding the Third Proportional to 27,627.75 and 41,347.13

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Solution

The third proportional to 27,627.75 and 41,347.13 is: 61,879.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,627.75 : 41,347.13 = 41,347.13 : x
  2. Step 2: Convert to fraction form
    27,627.75/41,347.13 = 41,347.13/x
  3. Step 3: Cross multiply
    27,627.75x = 41,347.13 × 41,347.13
  4. Step 4: Simplify right side
    27,627.75x = 1,709,584,745.77
  5. Step 5: Solve for x
    x = 1,709,584,745.77/27,627.75
  6. Step 6: Final answer
    x = 61,879.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.