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Finding the Third Proportional to 11,190 and 16,773

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Solution

The third proportional to 11,190 and 16,773 is: 25,141.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,190 : 16,773 = 16,773 : x
  2. Step 2: Convert to fraction form
    11,190/16,773 = 16,773/x
  3. Step 3: Cross multiply
    11,190x = 16,773 × 16,773
  4. Step 4: Simplify right side
    11,190x = 281,333,529
  5. Step 5: Solve for x
    x = 281,333,529/11,190
  6. Step 6: Final answer
    x = 25,141.51

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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.