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Finding the Third Proportional to 41,210 and 62,604

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Solution

The third proportional to 41,210 and 62,604 is: 95,104.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,210 : 62,604 = 62,604 : x
  2. Step 2: Convert to fraction form
    41,210/62,604 = 62,604/x
  3. Step 3: Cross multiply
    41,210x = 62,604 × 62,604
  4. Step 4: Simplify right side
    41,210x = 3,919,260,816
  5. Step 5: Solve for x
    x = 3,919,260,816/41,210
  6. Step 6: Final answer
    x = 95,104.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.