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Finding the Third Proportional to 11,152 and 16,692

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Solution

The third proportional to 11,152 and 16,692 is: 24,984.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,152 : 16,692 = 16,692 : x
  2. Step 2: Convert to fraction form
    11,152/16,692 = 16,692/x
  3. Step 3: Cross multiply
    11,152x = 16,692 × 16,692
  4. Step 4: Simplify right side
    11,152x = 278,622,864
  5. Step 5: Solve for x
    x = 278,622,864/11,152
  6. Step 6: Final answer
    x = 24,984.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.