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Finding the Third Proportional to 27,947.25 and 41,540.63

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Solution

The third proportional to 27,947.25 and 41,540.63 is: 61,745.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,947.25 : 41,540.63 = 41,540.63 : x
  2. Step 2: Convert to fraction form
    27,947.25/41,540.63 = 41,540.63/x
  3. Step 3: Cross multiply
    27,947.25x = 41,540.63 × 41,540.63
  4. Step 4: Simplify right side
    27,947.25x = 1,725,623,525.39
  5. Step 5: Solve for x
    x = 1,725,623,525.39/27,947.25
  6. Step 6: Final answer
    x = 61,745.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.