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Finding the Third Proportional to 25,481 and 52,096

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Solution

The third proportional to 25,481 and 52,096 is: 106,510.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,481 : 52,096 = 52,096 : x
  2. Step 2: Convert to fraction form
    25,481/52,096 = 52,096/x
  3. Step 3: Cross multiply
    25,481x = 52,096 × 52,096
  4. Step 4: Simplify right side
    25,481x = 2,713,993,216
  5. Step 5: Solve for x
    x = 2,713,993,216/25,481
  6. Step 6: Final answer
    x = 106,510.47

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.