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Finding the Third Proportional to 3,663 and 7,137

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Solution

The third proportional to 3,663 and 7,137 is: 13,905.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663 : 7,137 = 7,137 : x
  2. Step 2: Convert to fraction form
    3,663/7,137 = 7,137/x
  3. Step 3: Cross multiply
    3,663x = 7,137 × 7,137
  4. Step 4: Simplify right side
    3,663x = 50,936,769
  5. Step 5: Solve for x
    x = 50,936,769/3,663
  6. Step 6: Final answer
    x = 13,905.75

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.