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Finding the Third Proportional to 18,724 and 41,174

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Solution

The third proportional to 18,724 and 41,174 is: 90,541.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,724 : 41,174 = 41,174 : x
  2. Step 2: Convert to fraction form
    18,724/41,174 = 41,174/x
  3. Step 3: Cross multiply
    18,724x = 41,174 × 41,174
  4. Step 4: Simplify right side
    18,724x = 1,695,298,276
  5. Step 5: Solve for x
    x = 1,695,298,276/18,724
  6. Step 6: Final answer
    x = 90,541.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.