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Finding the Third Proportional to 41,837 and 62,035

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Solution

The third proportional to 41,837 and 62,035 is: 91,984.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,837 : 62,035 = 62,035 : x
  2. Step 2: Convert to fraction form
    41,837/62,035 = 62,035/x
  3. Step 3: Cross multiply
    41,837x = 62,035 × 62,035
  4. Step 4: Simplify right side
    41,837x = 3,848,341,225
  5. Step 5: Solve for x
    x = 3,848,341,225/41,837
  6. Step 6: Final answer
    x = 91,984.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.