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Finding the Third Proportional to 3,696 and 7,749

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Solution

The third proportional to 3,696 and 7,749 is: 16,246.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696 : 7,749 = 7,749 : x
  2. Step 2: Convert to fraction form
    3,696/7,749 = 7,749/x
  3. Step 3: Cross multiply
    3,696x = 7,749 × 7,749
  4. Step 4: Simplify right side
    3,696x = 60,047,001
  5. Step 5: Solve for x
    x = 60,047,001/3,696
  6. Step 6: Final answer
    x = 16,246.48

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.