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Finding the Third Proportional to 41,738 and 92,806.50

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Solution

The third proportional to 41,738 and 92,806.50 is: 206,359.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,738 : 92,806.50 = 92,806.50 : x
  2. Step 2: Convert to fraction form
    41,738/92,806.50 = 92,806.50/x
  3. Step 3: Cross multiply
    41,738x = 92,806.50 × 92,806.50
  4. Step 4: Simplify right side
    41,738x = 8,613,046,442.25
  5. Step 5: Solve for x
    x = 8,613,046,442.25/41,738
  6. Step 6: Final answer
    x = 206,359.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.