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Finding the Third Proportional to 25,571 and 55,790

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Solution

The third proportional to 25,571 and 55,790 is: 121,720.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,571 : 55,790 = 55,790 : x
  2. Step 2: Convert to fraction form
    25,571/55,790 = 55,790/x
  3. Step 3: Cross multiply
    25,571x = 55,790 × 55,790
  4. Step 4: Simplify right side
    25,571x = 3,112,524,100
  5. Step 5: Solve for x
    x = 3,112,524,100/25,571
  6. Step 6: Final answer
    x = 121,720.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.