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Finding the Third Proportional to 11,660 and 25,174

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Solution

The third proportional to 11,660 and 25,174 is: 54,350.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660 : 25,174 = 25,174 : x
  2. Step 2: Convert to fraction form
    11,660/25,174 = 25,174/x
  3. Step 3: Cross multiply
    11,660x = 25,174 × 25,174
  4. Step 4: Simplify right side
    11,660x = 633,730,276
  5. Step 5: Solve for x
    x = 633,730,276/11,660
  6. Step 6: Final answer
    x = 54,350.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.