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Finding the Third Proportional to 25,731 and 52,177

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Solution

The third proportional to 25,731 and 52,177 is: 105,803.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,731 : 52,177 = 52,177 : x
  2. Step 2: Convert to fraction form
    25,731/52,177 = 52,177/x
  3. Step 3: Cross multiply
    25,731x = 52,177 × 52,177
  4. Step 4: Simplify right side
    25,731x = 2,722,439,329
  5. Step 5: Solve for x
    x = 2,722,439,329/25,731
  6. Step 6: Final answer
    x = 105,803.87

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.