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Finding the Third Proportional to 12,082 and 24,503

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Solution

The third proportional to 12,082 and 24,503 is: 49,693.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082 : 24,503 = 24,503 : x
  2. Step 2: Convert to fraction form
    12,082/24,503 = 24,503/x
  3. Step 3: Cross multiply
    12,082x = 24,503 × 24,503
  4. Step 4: Simplify right side
    12,082x = 600,397,009
  5. Step 5: Solve for x
    x = 600,397,009/12,082
  6. Step 6: Final answer
    x = 49,693.51

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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.