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Finding the Third Proportional to 41,621 and 62,186

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Solution

The third proportional to 41,621 and 62,186 is: 92,912.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,621 : 62,186 = 62,186 : x
  2. Step 2: Convert to fraction form
    41,621/62,186 = 62,186/x
  3. Step 3: Cross multiply
    41,621x = 62,186 × 62,186
  4. Step 4: Simplify right side
    41,621x = 3,867,098,596
  5. Step 5: Solve for x
    x = 3,867,098,596/41,621
  6. Step 6: Final answer
    x = 92,912.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.