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Finding the Third Proportional to 11,837 and 19,068

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Solution

The third proportional to 11,837 and 19,068 is: 30,716.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,837 : 19,068 = 19,068 : x
  2. Step 2: Convert to fraction form
    11,837/19,068 = 19,068/x
  3. Step 3: Cross multiply
    11,837x = 19,068 × 19,068
  4. Step 4: Simplify right side
    11,837x = 363,588,624
  5. Step 5: Solve for x
    x = 363,588,624/11,837
  6. Step 6: Final answer
    x = 30,716.28

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.