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Finding the Third Proportional to 25,833 and 54,903

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Solution

The third proportional to 25,833 and 54,903 is: 116,685.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,833 : 54,903 = 54,903 : x
  2. Step 2: Convert to fraction form
    25,833/54,903 = 54,903/x
  3. Step 3: Cross multiply
    25,833x = 54,903 × 54,903
  4. Step 4: Simplify right side
    25,833x = 3,014,339,409
  5. Step 5: Solve for x
    x = 3,014,339,409/25,833
  6. Step 6: Final answer
    x = 116,685.61

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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.