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Finding the Third Proportional to 10,138 and 22,273

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Solution

The third proportional to 10,138 and 22,273 is: 48,933.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138 : 22,273 = 22,273 : x
  2. Step 2: Convert to fraction form
    10,138/22,273 = 22,273/x
  3. Step 3: Cross multiply
    10,138x = 22,273 × 22,273
  4. Step 4: Simplify right side
    10,138x = 496,086,529
  5. Step 5: Solve for x
    x = 496,086,529/10,138
  6. Step 6: Final answer
    x = 48,933.37

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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.