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Finding the Third Proportional to 41,226 and 62,035

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Solution

The third proportional to 41,226 and 62,035 is: 93,347.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,226 : 62,035 = 62,035 : x
  2. Step 2: Convert to fraction form
    41,226/62,035 = 62,035/x
  3. Step 3: Cross multiply
    41,226x = 62,035 × 62,035
  4. Step 4: Simplify right side
    41,226x = 3,848,341,225
  5. Step 5: Solve for x
    x = 3,848,341,225/41,226
  6. Step 6: Final answer
    x = 93,347.43

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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.