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Finding the Third Proportional to 25,934 and 36,699

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Solution

The third proportional to 25,934 and 36,699 is: 51,932.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,934 : 36,699 = 36,699 : x
  2. Step 2: Convert to fraction form
    25,934/36,699 = 36,699/x
  3. Step 3: Cross multiply
    25,934x = 36,699 × 36,699
  4. Step 4: Simplify right side
    25,934x = 1,346,816,601
  5. Step 5: Solve for x
    x = 1,346,816,601/25,934
  6. Step 6: Final answer
    x = 51,932.47

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.