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Finding the Third Proportional to 5,751 and 8,138

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Solution

The third proportional to 5,751 and 8,138 is: 11,515.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751 : 8,138 = 8,138 : x
  2. Step 2: Convert to fraction form
    5,751/8,138 = 8,138/x
  3. Step 3: Cross multiply
    5,751x = 8,138 × 8,138
  4. Step 4: Simplify right side
    5,751x = 66,227,044
  5. Step 5: Solve for x
    x = 66,227,044/5,751
  6. Step 6: Final answer
    x = 11,515.74

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.