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Finding the Third Proportional to 25,495 and 35,839

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Solution

The third proportional to 25,495 and 35,839 is: 50,379.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,495 : 35,839 = 35,839 : x
  2. Step 2: Convert to fraction form
    25,495/35,839 = 35,839/x
  3. Step 3: Cross multiply
    25,495x = 35,839 × 35,839
  4. Step 4: Simplify right side
    25,495x = 1,284,433,921
  5. Step 5: Solve for x
    x = 1,284,433,921/25,495
  6. Step 6: Final answer
    x = 50,379.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.