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Finding the Third Proportional to 11,616 and 16,912

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Solution

The third proportional to 11,616 and 16,912 is: 24,622.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616 : 16,912 = 16,912 : x
  2. Step 2: Convert to fraction form
    11,616/16,912 = 16,912/x
  3. Step 3: Cross multiply
    11,616x = 16,912 × 16,912
  4. Step 4: Simplify right side
    11,616x = 286,015,744
  5. Step 5: Solve for x
    x = 286,015,744/11,616
  6. Step 6: Final answer
    x = 24,622.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.