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Finding the Third Proportional to 5,814.50 and 11,938

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Solution

The third proportional to 5,814.50 and 11,938 is: 24,510.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.50 : 11,938 = 11,938 : x
  2. Step 2: Convert to fraction form
    5,814.50/11,938 = 11,938/x
  3. Step 3: Cross multiply
    5,814.50x = 11,938 × 11,938
  4. Step 4: Simplify right side
    5,814.50x = 142,515,844
  5. Step 5: Solve for x
    x = 142,515,844/5,814.50
  6. Step 6: Final answer
    x = 24,510.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.