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Finding the Third Proportional to 25,877 and 53,941

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Solution

The third proportional to 25,877 and 53,941 is: 112,440.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,877 : 53,941 = 53,941 : x
  2. Step 2: Convert to fraction form
    25,877/53,941 = 53,941/x
  3. Step 3: Cross multiply
    25,877x = 53,941 × 53,941
  4. Step 4: Simplify right side
    25,877x = 2,909,631,481
  5. Step 5: Solve for x
    x = 2,909,631,481/25,877
  6. Step 6: Final answer
    x = 112,440.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.