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Finding the Third Proportional to 18,174 and 39,129

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Solution

The third proportional to 18,174 and 39,129 is: 84,245.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,174 : 39,129 = 39,129 : x
  2. Step 2: Convert to fraction form
    18,174/39,129 = 39,129/x
  3. Step 3: Cross multiply
    18,174x = 39,129 × 39,129
  4. Step 4: Simplify right side
    18,174x = 1,531,078,641
  5. Step 5: Solve for x
    x = 1,531,078,641/18,174
  6. Step 6: Final answer
    x = 84,245.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.