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Finding the Third Proportional to 25,760 and 36,766

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Solution

The third proportional to 25,760 and 36,766 is: 52,474.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,760 : 36,766 = 36,766 : x
  2. Step 2: Convert to fraction form
    25,760/36,766 = 36,766/x
  3. Step 3: Cross multiply
    25,760x = 36,766 × 36,766
  4. Step 4: Simplify right side
    25,760x = 1,351,738,756
  5. Step 5: Solve for x
    x = 1,351,738,756/25,760
  6. Step 6: Final answer
    x = 52,474.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.