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Finding the Third Proportional to 41,936 and 61,174

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Solution

The third proportional to 41,936 and 61,174 is: 89,237.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,936 : 61,174 = 61,174 : x
  2. Step 2: Convert to fraction form
    41,936/61,174 = 61,174/x
  3. Step 3: Cross multiply
    41,936x = 61,174 × 61,174
  4. Step 4: Simplify right side
    41,936x = 3,742,258,276
  5. Step 5: Solve for x
    x = 3,742,258,276/41,936
  6. Step 6: Final answer
    x = 89,237.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.