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Finding the Third Proportional to 6,174 and 13,682.25

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Solution

The third proportional to 6,174 and 13,682.25 is: 30,321.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174 : 13,682.25 = 13,682.25 : x
  2. Step 2: Convert to fraction form
    6,174/13,682.25 = 13,682.25/x
  3. Step 3: Cross multiply
    6,174x = 13,682.25 × 13,682.25
  4. Step 4: Simplify right side
    6,174x = 187,203,965.06
  5. Step 5: Solve for x
    x = 187,203,965.06/6,174
  6. Step 6: Final answer
    x = 30,321.34

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.