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Finding the Third Proportional to 41,210 and 61,824

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Solution

The third proportional to 41,210 and 61,824 is: 92,749.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,210 : 61,824 = 61,824 : x
  2. Step 2: Convert to fraction form
    41,210/61,824 = 61,824/x
  3. Step 3: Cross multiply
    41,210x = 61,824 × 61,824
  4. Step 4: Simplify right side
    41,210x = 3,822,206,976
  5. Step 5: Solve for x
    x = 3,822,206,976/41,210
  6. Step 6: Final answer
    x = 92,749.50

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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.