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Finding the Third Proportional to 10,529 and 23,177

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Solution

The third proportional to 10,529 and 23,177 is: 51,018.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,529 : 23,177 = 23,177 : x
  2. Step 2: Convert to fraction form
    10,529/23,177 = 23,177/x
  3. Step 3: Cross multiply
    10,529x = 23,177 × 23,177
  4. Step 4: Simplify right side
    10,529x = 537,173,329
  5. Step 5: Solve for x
    x = 537,173,329/10,529
  6. Step 6: Final answer
    x = 51,018.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.