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Finding the Third Proportional to 12,529 and 26,273

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Solution

The third proportional to 12,529 and 26,273 is: 55,093.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,529 : 26,273 = 26,273 : x
  2. Step 2: Convert to fraction form
    12,529/26,273 = 26,273/x
  3. Step 3: Cross multiply
    12,529x = 26,273 × 26,273
  4. Step 4: Simplify right side
    12,529x = 690,270,529
  5. Step 5: Solve for x
    x = 690,270,529/12,529
  6. Step 6: Final answer
    x = 55,093.82

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.