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Finding the Third Proportional to 12,174 and 18,912

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Solution

The third proportional to 12,174 and 18,912 is: 29,379.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174 : 18,912 = 18,912 : x
  2. Step 2: Convert to fraction form
    12,174/18,912 = 18,912/x
  3. Step 3: Cross multiply
    12,174x = 18,912 × 18,912
  4. Step 4: Simplify right side
    12,174x = 357,663,744
  5. Step 5: Solve for x
    x = 357,663,744/12,174
  6. Step 6: Final answer
    x = 29,379.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.