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Finding the Third Proportional to 41,225 and 62,018

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Solution

The third proportional to 41,225 and 62,018 is: 93,298.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,225 : 62,018 = 62,018 : x
  2. Step 2: Convert to fraction form
    41,225/62,018 = 62,018/x
  3. Step 3: Cross multiply
    41,225x = 62,018 × 62,018
  4. Step 4: Simplify right side
    41,225x = 3,846,232,324
  5. Step 5: Solve for x
    x = 3,846,232,324/41,225
  6. Step 6: Final answer
    x = 93,298.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.