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Finding the Third Proportional to 41,472 and 62,245

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Solution

The third proportional to 41,472 and 62,245 is: 93,423.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,472 : 62,245 = 62,245 : x
  2. Step 2: Convert to fraction form
    41,472/62,245 = 62,245/x
  3. Step 3: Cross multiply
    41,472x = 62,245 × 62,245
  4. Step 4: Simplify right side
    41,472x = 3,874,440,025
  5. Step 5: Solve for x
    x = 3,874,440,025/41,472
  6. Step 6: Final answer
    x = 93,423.03

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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.