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Finding the Third Proportional to 7,696 and 13,916

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Solution

The third proportional to 7,696 and 13,916 is: 25,163.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696 : 13,916 = 13,916 : x
  2. Step 2: Convert to fraction form
    7,696/13,916 = 13,916/x
  3. Step 3: Cross multiply
    7,696x = 13,916 × 13,916
  4. Step 4: Simplify right side
    7,696x = 193,655,056
  5. Step 5: Solve for x
    x = 193,655,056/7,696
  6. Step 6: Final answer
    x = 25,163.08

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.