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Finding the Third Proportional to 11,947.50 and 25,422

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Solution

The third proportional to 11,947.50 and 25,422 is: 54,093.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,947.50 : 25,422 = 25,422 : x
  2. Step 2: Convert to fraction form
    11,947.50/25,422 = 25,422/x
  3. Step 3: Cross multiply
    11,947.50x = 25,422 × 25,422
  4. Step 4: Simplify right side
    11,947.50x = 646,278,084
  5. Step 5: Solve for x
    x = 646,278,084/11,947.50
  6. Step 6: Final answer
    x = 54,093.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.